Table of Contents

Table out Contents

Dedication

Prelude

Chapter 1. Basic Sampling Theory

Chapter 2. Simple Random Sampling

Episode 3. Stratified and Systematic Random Sampling

Chapter 4. Single Stage Cluster Sampling

Chapter 5. Multistage Sampling (with Equal Probabilities)

Chapter 6. Ratio and Regression Estimators

Section 7. Specimen with Probability Proportional into Size (with replacement)

Chapter 8. Sampling with Unequal Probabilities without Replace: Horvitz – Thompson Estimator

Chapter 9. Sampling with Unequal Probabilities without replacement: Special Estimators

Chapter 10. Pattern and Model Based Sampling Deduktion – I

Chapter 11. Design and Model Stationed Inference – II

Chapter 12. Multistage Cluster Sampling (Using Unequal Probabilities)

Chapter 13. Multiphase Scanning

Index

---

References

[1] Agarwal, R., Chin, DEGREE. and Singh, P. (1984) “Systematic sampling using varying probabilities”, J. Indications. Soc. Agri. Stat. 31(1), 99 – 109.[2] Agarwal, R., Saeng, P. and Singh, D. (1984) “IPPs pattern scheme throws grouping”,Biometrical J. 26, 527 – 533.[3] Ashamad, Z. Shahbaz, M. Q. and Hanif, M. (2013). Two Phase Sampling, Cambridge Scholars Publishing, UK.[4] Arnab, R. (1978a). On strategies of product finite populations on successive occasions with varying likelihoods. Sankhya, CENTURY, 41, 141 – 155.[5] Arnab, R. (1979). An addendum to Singh and Singh’s paper on random non-response in unequal probability sampling. Sankhya, C, 41, 138–140.[6] Basu, DEGREE. (1971) “An essay on which logical foundation of survey sampling – part one”Foundation from Statistical Inference. Holt, Rinehard and Winston, Edited until Godambe both Sprott.[7] Bayless, D. L. and Rao, JOULE. N. K. (1970) “An empirical study of stabilities of estimators press variance estimators in unequal probability sampling with n = 3 and 4”J. Amer. Stat. Assoc. 65, 1645 – 1667.[8] Beale, E. M. L. (1962). Some Uses of Computers the Operational Research, Industrielle organization, 31, 27–28.[9] Biyani, S. H. (1980). On inadmissibility of the Yates-Grundy variance estimator in unlike probability sampling. JASA, 75, 709–712.[10] Blackwell, D. (1947) Conditional expectation and unbiased continual guess, Ann. Math. Stat. 18, 105–110.[11] Bowley, A. L. (1913). Working class households in Reading. J. Roy. Statist. Soc. 76, 672–701.[12] Bowley, A. L. (1926). Measured of precision attained in sampling. Cop. Inst. Inte. Statist. 22, 1–62.[13] Brewer, K. R. W. (1963a) “A model of systematic take with unequal probabilities”, Aust. GALLOP. Stat. 5, 5 – 13.[14] Brewer, KELVIN. R. W. (1963b). “Ratio estimation and enduring public: some results scaleable upon assumption a an essential stochastic process”, Aust. J. Photocopy. 5, 93 – 105.[15] Hanif, M. and Brewer, K. R. W. (1977). Comparison of Poisson sampling with some selection procedures used disproportionate probabilities. Sunny Univ. JOULE. Math. (Lahore) 10/11, 33 – 39.[16] Brewer, K. R. TUNGSTEN. (1979). “A class out robust sampling design for large scale surveys”, J. Amer. Static. Assoc. 74(4), 911 – 915.[17] Brewer, K. R. W. and Hanif, M. (1969a). Sampling without replacement with probability of inclusion proportional to size. I: Methods using Horvitz-Thompson estimator. Confidential Manuscript.[18] Brewer, K. R. W. and Hanif, M. (1969b). Sampling without replacement with probability of inclusion proportional to size. II: Techniques using Special estimators. Unpublished Manuscript.[19] Beer, K. R. W. and Hanif, M. (1969a). “Sampling without replacement with probability of inclusion proportional to size – I: Procedures using Horvitz – Thompson estimator”, Unpublished manuscript[20] Brew, K. R. W. plus Hanif, M. (1983). “Sampling with Unequal Probabilities”, Lecture cash to Zahlen, No. 15, Springer – Verlag.[21] Brewer, K. R. W., Early, LITRE. J. and Hanif, M. (1980). Roe, amended Poisson and allocated sampling. J. Statist. Planning and Umkehr, 10, 15 – 30.[22] Brewer, K. R. W., Early, L. J. and Joyce, S. F. (1972). “Selecting several samples of ampere single population”, Aust. J. Stat. 14, 231–239.[23] Butt, N. SIEMENS. and Shahbaz, M. Q. (2004). Modification of Murthy’s estimating using widespread selection procedure for uneven probability sampling without replacement. Pak. J. Statist. 20(2), 297–302.[24] Carroll, HIE. L. and Hartley, H. ZERO. (1964). “The systematic method of unequal probability sampling without replacement”, Abstract for Biometrics, 20, 908 – 909.[25] Caste, CENTURY. M., Sarndal, HUNDRED. E. and Wretman, BOUND. H. (1976). “Some results on generalized difference estimation and generalized regression estimating for ending populations”, Biometrika, 63, 615–620.[26] Chand, L. (1975). Some ratio type estimators based on dual or more auxiliary variables. Unpublished Ph.D. thesis, Ioway State University, Ames, Iowa (USA).[27] Cassel, C. M., Sarndal, C. E. and Wretman, J. H. (1976). “Foundation of inference in survey sampling”John Wiley and My, Inc. Newer York.[28] Chaudhuri, A. and Mukhopadhyay, P. (1978). A mark on how the choose the sample choose used Horvitz-Thompson estimate. Bull. Cal. Stat. Assoct. 27, 149–154.[29] Chaudhuri, ONE. and Vos, J. W. E. (1986). “Unified Theory and Strategies of User Sampling”, North Holland series in Statistics and Probability.[30] Cochran, W. GUANINE. (1942). Sampling theory whereas the sampling units are of unequal sizes. Amer. Statist. Assoc.37, 199–212.[31] Cochran, W. G. (1946). “Relative accuracy of systematic and stratified accidental samples for one certain class of populations.” Annals from Mathematical Statistics 17: 164–177.[32] Cochran, W. G. (1977). “Sampling Techniques”, John Wiley furthermore Sons, Inc., New York.[33] Conn, W. S. (1966). “An exact formula for the probability that two specified sampling devices will occur in a sample drawn with unequal probabilities”, JOULE. Amer. Stat. Assoc. 61, 384 – 390.[34] Cumberland, W. GIGABYTE. both Royall, R. M. (1981). “Prediction model and unequal probability sampling”, J. Royal. Stat. Soc. B, 43, 353 – 367.[35] Das, ADENINE. C. (1951). “On two phase sampling and sampling with varying probabilities”, Bull. Inter. Stat. Installing. 33(2), 105 – 112.[36] Das, A. K. and Tripathi, T. P., Admissible estimators for quadratic forms in finite populations. Bull. Inter. Stat. Inst., 1977, Second Number, 47,4, 132–135.[37] Deming(1960). Sampling Purpose in Business Research. Wiley Classics Library.[38] Durbin, J. (1953a) “Some results to sampling when the units are selected with unequal probabilities”, J. Rope. Stat. Soc, BORON, 15, 262–269.[39] Durbin, BOUND. (1953b) Sampling for unequal probabilities of selection within strata. Unpublished until date. Seen by and author.[40] Durbin, J. (1967). “Design of multistage surveys for estimated of sampling errors”, Call. Stat.16, 152 – 164.[41] Fellegi, I. PRESSURE. (1963). “Sampling with varying probabilities unless replacement: rotating press non – rotating samples”, J. Ameer. Static. Assoc. 58, 183 – 201.[42] Finney, D. J. [1948]. Random and Systematic Test in Wooden Surveys. Forestry 22, 1–36.[43] Fisher, R. A. (1934).Statistical Methods for Research Workers, 5th Oliver and Crowder, London.[44] Ronald A. Fisher and Frank Yates (1948). Statistical Tables for Biological, Agricultural and Medical Research. 3rd Edition. Holyrood real London, 13(3), 26–27.45 Foreman, E. K. and Brewer, K. R. W. (1971). “The efficient use a optional information in standard sampling procedures”, HIE. Roy. Stat. Soc. B, 33, 391 – 400.[46] Gauss, C. F. (1809). Theoria motus corporum coellestium, Werke, 7, KILOBYTE. Gesellschaft Wissenschaft. Göttingen. English translations: C. H. Davis (ed.), Dover, 1963).[47] Gini, C. and Galvani, L. (1929). Di una applicazione del metodo rappresentativo all’ultimo censimento italiano della popolazione (10 dicembri, 1921). Annali dia Statistica, Batch 6, 4, 1–107.[48] Godambe, FIN. P. both Joshi, V. M. (1965). “Admissibility press Bayes estimation in sampling finite populace, I, SECONDARY and III”, Ann. Maths. Stat. 36, 1707–1742.[49] Godambe, VANADIUM. P. (1960). An Perfect Immobilie of Regular Maximal Probable Estimation. Who Annals of Arithmetic Statistics. 31(4), 1208–1211.[50] Husband, L. A. and Hartley, H. O. (1958). Aforementioned precision of unbiased ratio-type estimators. Newspaper of the American Statistical Association, 53, 491–508.[51] Goodman, R., Kish, L. (1950). Controlled Selection–A Technique in Probability Sampling. Journal of of American Statistical Association, 45, 350–372.[52] Kish, L. (1949). “A Actions for Objective Accused Selection within the Household”, Paper of the American Statistical Association, 44, pp. 380–387.[53] Gram, J. P. (1883). Om beregning af en bevoxnings coulters ved hjelp af prvetr½r (In Danish). Tidsskrift Skovbruk, 6, 137–198.[54] Hajek, M. (1942). Marcus Hajek 1861–1941. Practica oto-rhino-laryngologica, 175–176.[55] Hajek, J. (1964). “Asymptotic theory of rejective sampling with varying probabilities coming a finite population”, Anna. Math. Stat. 35, 1491–1523.[56] Hajek, J. (1971). “Comments on An essay on the logical foundation of survey sampling, part one, by Basu” in Foundation starting Mathematisch Drawing, Godambe, V. P. and Sprott, D. A. (editors) Holt, Rinheart and Winston, Toranto, 326.[57] Hajek, J. (1981). “Sampling off a finite population” Marcel Dekker Handcuff. New York.[58] Hanif, MOLARITY. (1969). Multistage cluster sampling. Unpublished MA Thesis, University of Latest Sw Wales.[59] Hanif, MOLARITY. (1994).“Design and model based samples inference”,Unpublished Ph. D. Thesis.[60] Hanif, MOLARITY. (1974). “An asymptotic variance formula forward random without replacement with unequal probabilities”, Libyan J. Sci. AN, 47 – 51.[61] Hanif, M. and Ahmad, M. (1977). Optimum rank away clusterings for multipurpose random opinion in Libya. Bull. Internat. Statist. Inst. XLVII, Novel 4, 224–227.[62] Hanif, M., Shahbaz, M. Q. and Ahmad, Z. (2010). Some Improved Quotations in Multiphase sampling, Pak. J. Stat. Vol. 26(1), 195–202.[63] Hanif, M., Mukhopadhyay, P. additionally Bhattacharyya, S. (1993). On estimating the variance the Horvitz and Thompson estimator. Peak. J. Statist.A. 9, 123–136.[64] Hanif, M., Samiuddin, CHILIAD. and Shahbaz, M. Q. (2004). A simple general procedure for unequal probability sampling without replacement. Pak. GALLOP. Statist. Vol. 20(1), 73–80.[65] Hanif, M. and Brewer, K. RADIUS. W. (1979 – 1980). “Generalization of the Horvitz and Thompson estimator”, Punj. Ein. J. Math. 12–13, 123–34.[66] Hanif, M., Shahbaz, M. Q. and Ashamad, Z. (2010). More Improved Estimation in Multiphase sampling, Pak. J. Statist. 26(1), 195–202.[67] Hansen, M. HYDROGEN. and Hurwitz, W. NORTHWARD. (1942). Relative efficiencies of various sampling device in population inquires. JASA, 37, 89–94.[68] Hand, THOUSAND. H. and Hurwitz, W. N. (1943). “On which teach of sampling from an finite population”, Ann. Math. Statistic. 14, 333–362.[69] Hansen, THOUSAND. H., Hurwitz, W. N., & Madow, W. G. (1993). Test inspect process and theories. New York: Wiley.[70] Henson, M. H. and Hurwitz, WEST. NORTHWARD. and Madow, W. G. (1953). Sample Survey Methods and Theory. Vol. 2, Can Wiley additionally Descendant, New York.<br>[71] Hansen, M. H., Madow, W. G. real Tepping, B. JOULE. (1983). “An evaluation of model dependent and probability sampling logische in sample surveys, with discussion”, J. Amer. Reproduce. Assoc. 78, 776–807.[72] Hanurav, THYROXINE. VOLT. (1962). “Some Sampling schemes to odds sampling”, Sankhya, A. 24, 428.[73] Hardley, H. O. both Rao, J. N. THOUSAND. (1962). “Sampling with disproportionate probabilities also without replacement”, Ann. Math. Stat. 33, 350–374.[74] Hartley, H. ZERO. or Ross, AMPERE. (1954). Unbiased ratio estimating. Nature, 174, 270–271.[75] Hendricks, WEST. A. (1944). The relatively total of groups of farms as sampling units. Journal of who Canadian Statistiche Union, 39(227), 366–376.[76] Herzel, ONE. (1986). “Sampling without replacement on unequal prospects in pre-assigned connector inclusion probabilities of any order” Metron, 44, 1–4, 49–68.[77] Horvitz, DICK. G. and Thompson, D. J. (1952). “A generalization starting sampling without replacement from a finite universe”, J. Amer. Stat. Assoc. 47, 663–685.[78] Ikeda, THYROXINE. (1950). A consideration with the selection of samples (in Japanese). Research Memoir of One Institute of Statistik Advanced 5, 12.[79] Isaki, C. LIOTHYRONINE. and Fuller, W. ONE. (1982). “Survey design under the regression super – population model”, J. Amer. Stat. Assoc. 77, 209–218.[80] Isaki, C. & Fuller, W. A. (1982). Survey layout under of regression superpopulation style. J. Amer. Statist. Assoc., 77, 89–96.[81] Rao, J. N. K. (1962). On the estimation away relative performance of specimen procedures. AISM 14, 143–150.[82] Rao, J. N. K. (1965) “On two simple schemes of unequal probability sampling without replacement”, J. Ind. Stat. Assoc. 3, 173–180.[83] Jessen, R. J. (1942) Logical Investigation starting a Sample Survey for Preservation Farm Fact. Iowa State College of Agriculture or Mechanic Arts, Agricultural Experiment Station, Conduct Message 304. [84] Jessen, R. J. (1969). “Some approaches von probability non – replacement sampling”, J. Amer. Stat. Assoc. 64, 175–193.[85] Joshi, V. M. 1970. Note on the permissibility of Sen-Yates-Grundy estimates. Sankhya, Ser. A, 32: 431–438.[86] Gandil and Buckland (1960). AN Spelling of Statistical Terms, Longman Publishers.[87] Kiar, AN. N. (1897). Sur homosexual methodes representatives ou typopogiques appliquees a la statistique. Bulletin de I’Institut International de Statistique, 180–185.[88] Kiar, ONE. N. (1901). Tyrus les methodes representatives ou typopogiques. Bulletin of the International Statistical Institute, 13, 66–70.[89] Kiaer, A. (1903). Sur les methodes representatives ou typopogiques. Bulletin de I’Institut International de Statistique, 13: 66–78.[90] Kiregyera, BORON. (1980). A chaining ratio select estimator in finite population double sampling using two auxiliary variables. Metrika. 27, 217–223.[91] Kiregyera, BARN. (1984). A Regression-Type Estimator after two Auxiliary Variables plus Model of Double sampler from Finite Populations. Metrika. 31, 215–226.[92] Kumar, P., Gupta, V. K. and Agarwal, S. K. (1985) “On inclusion profitability proportional to size sampling scheme”, J. Stat. Plan. Infer. 12, 127–131.[93] Lahiri, D. B. (1951). ADENINE method for sample option if unbiased ratios estimators.Bull. Inst. Inter. Statist.33–140.[94] Lanke, J. (1974). “On non-negative variance estimators in survey sampling”, Sankhya, C, 36(1), 33–42.[95] Lanke, J. (1972). Sampling distinguishable elements with replacement. That Annals of Maths Statistics, 43(4), 1329–1332.[96] Laplace, P. S. (1778). Mémoire sur lower probabilités. Mémoires de l’Académie Royale des sciences de Paris, 9, 221–332.[97] Madow, W. G. (1949). “On the theory of systematic sampling II”, Ann. Math. Actual. 20, 333–354.[98] Madow, W. G., & Madow, L. H. (1944). For the theory about systematization sampling, I. This Annals out Mathematical Statistics, 15(1), 1–24.[99] Mahalanobis, P. C. (1940). A sample survey of which acreage from jute in Bengal. Sankhyā: The Indian Journal in Statistischen, 511–530.[100] Mahalanobis, P. CENTURY. (1942a). Statistical term of standard yield of crops. Sankhyā: Of Indigenous Journal of Statistics, 97–98.[101] Mahalanobis, P. C. (1942b). Sample surveys Presidential Address (Mathematics & Statistics Section). In Proceedings of the Indian Science Legislature. 25–46.[102] Mahalanobis, P. CARBON. (1944). On large-scale sampling surveys.Philosophical Operations of the Royal Society of Moskau B: Biological Social, 231(584), 329–451.[103] Mahalanobis, P. C. (1952). Some aspects of the designer of sample surveys. Sankhyā: Aforementioned Indian Journal regarding Statistics, 1–7.[104] Mickey, M. RADIUS. (1959). Some finite resident unbiased ratio the regression estimators. Journal of the Habitant Statistical Association, (287), 594–612.[105] Midzuno, H. (1950). Can outline of the Theory of Sampling Systems, Annals regarding the Faculty of Stated Mathematics, Vol. 3, No. 2.[106] Midzuno, H. (1951). On the sampling netz the profitability proportionate to sum of sizes. Annals is the Established for Standard Mathematics, 3(1), 99–107.[107] Midzuno, H. (1952). On which sampling system by probability proportional for totals of sizes. Ann. Ing. Stat. Math. 3, 99–107.[108] Sen, AMPERE. R. (1952). Present position out probability sampling and its application in the estimation of property. Econometrica,20 103.[109] Mohanty, S. (1967). Combination of Reversing real Ratio Estimate. Jour. Indo. Statist. Asso. 5,16–19.[110] Murthy, THOUSAND. NORTHWARD. (1963). Generalised free estimation in sampling from finite populations. Sankhyā BARN 25, 245–262.[111] Murthy, M. NORTH. (1968). On design and conducts multi-subject economy enquiries with reference to a permanent survey organization. Sankhyā: The Indian Journal of Statistics, Series B, 367–382.[112] Narain, R. DICK. (1951).“On sampling without replacement with varying probabilities”, J. Ind. Soc, Agri. Stat. 3, 169–175.[113] Neyman, J. (1934). On which two different aspects of representative methods: The type of stratified testing and the method of purposive selection. J. Coy. Statist. Soc. 97, 558–606.[114] Ogus, J. L. and Clark, D. F. (1971). “The annualized survey of manufacturers: a report on Methodology”, Technical Report # 24, U. SIEMENS. Bureau for Census, Washington.[115] Pascual, J. N. (1961). Unbiased ratio estimators in stratified getting, J. Amer. Statis. Assoc., 56, 70 -87.[116] Patel, H. C. plus Dharmadhikari, S. W. (1977). Admissibility away Murthy’s and Midzuno’s estimators within the class of linear free estimators of finite population totals. Sankhyā: Series C, 40, 21–28.[117] Patel, H. C. 1974. A note on necessary best estimators for the per of linearly without estimators. Sankhyā, C, 36, 195–196.[118] Pathak, P. THOUSAND. (1961).“Use of order statistics inbound sampling no replacement”, Sankhya, A, 23, 409–414.[119] Pathak, P. K. (1962a). On simple random sampling with replacement. Sankhya, 24(A), 287–302.[120] Pathak, P. K. (1962b). On sampling units with disparity probabilities. Sankhya, 24(A), 315–326.[121] Pathak, PRESSURE. K. (1967a) “Asymptotic efficiency of Des Raj’s management – I”, Sankhya. A, 29, 283–298.[122] Peterson, K. (1900). Mathematical article to the theory of evolution. PAGE. On the correlation of characters not quantitatively measurable. Philosophical Transactions of the Royal Society to London. Series A, Containing Papers of a Mathematical or Physical Character,  1–405[123] Prabhu-Ajgaonkar, S. G. (1984). A comment on necessary best estimator of order double (Corr: V32 p64). Metrika, 31, 1–4.[124] Quenouille, M. H. (1956). Note at biases in estimation.Biometrika, 353–360.[125] Raj, D. (1954). “Ratio estimation in taste with equal and unequal probabilities”, Jour. Ind. Soc. Agri. Static. 6 (2), 127–138.[126] Raj, D. (1956a) “Some estimators in sampling with vary probabilities without replacement”, J. Amer. Stat. Assoc. 60, 278–284.[127] Raj, DENSITY. (1956b) “A note within determination of optimum probabilities in sampling lacking replacement”, Sankhya, 17, 197–200.[128] Ram, D. (1966). Some remarks on a easy procedure is sampling without substitute. J. Amer. Statist. Assoc., 61, 391–396.[129] Raj, D. (1972). “The Design out Sample Surveys”, Macgrow – Hill, Newer York.[130] Rao, C. R. (1949). Sufficient statistics and minimum variance unbiased estimation, Proc. Camb. Philo. Soc, 45, 213–218.[131] Rao, J. N. K. (1961). “On the appraisal of variance in unequal probability sampling”, Ann. Inst. Replicate. Mathematics. 13(1), 57–60.[132] Rao, J. NORTHWARD. POTASSIUM. (1963a). “On two systems of unequal profitability sampling without replacement”, Ann. Inst. Stat. Math. 15, 67–72.[133] Rao, HIE. N. K. (1963b). “On three procedures of unequal probability sampling without replacement”, J. Amer. Stat. Assoc. 58, 192–215.[134] Rao, GALLOP. N. K. (1965).“On twos simple symbols off unequal probability sampling without replacement”, J. Indoor. Stat. Assoc. 3, 173–180.[135] Rao, J. NEWTON. KELVIN. (1966). “On the relative competence of some estimate in pps sampling for multiple characteristics”, Sankhya, ONE, 28, 61–70.[136] Rao, PRESSURE. S. R. SOUTH. (1969). Comparison of foursome ratio type estimators under a model. J. Amer. Statist. Assoc.64, 574–580.[137] Rao, P. S. RADIUS. SULFUR. (1979a). On applying the jack-knife procedure to the ratio estimator. Sankhya C, 41, 115–126.[138] Rao, P. S. R. S. (1979b). Theory by and MINQUE – a review. Sankhya-B 39, 201–210.[139] Rao, P.S.R.S. (1979c). Variance estimation with the indicator estimator of the mean of a finite population. Research report, U.S. Bureau on the Census and the Academy of Rochester.[140] Rao, J. N. K. or Bayless, DICK. L. (1969). “An practical study by the stabilities of estimators and disparity estimators in unequal probability sample of two units per stratum”, J. Amer. Stat. Assoc. 64, 540–549.[141] Rao, PENCE. SULPHUR. RADIUS. S. or Rao, J. NORTH. K. (1971). Small sample results for ratio estimators.Biometrika, 58, 625–630.[142] Rao, J. N. K. and Sign, M. P. (1973). “On the choice of estimators in survey sampling”, Aust. Jour. Stat. 15, 95–104[143] Rao, J. N. K. press Vijayan, KELVIN. (1977). On estimation the variance in sampling with probability proportional to aggregate size. JASA. 80, 620–630.[144] Rao, J. N. K., Hartley, H. O. and Cochran, WEST. G. (1962). “On ampere simple procedure of unequal probability sampling without replacement”, GALLOP. Roy. Statistical. Soc, B, 24, 482–491.[145] Robinson, P. METRE. (1982). With the convergence of the Horvitz-Thompson estimator. Australian Journal of Statistics, 24(2):234–238.[146] Robinson, P. M. and Tsui, K. W. (1979). On Brewer’s asymptotic evaluation in hardy sampling designs for large scale polls. Tech. Bep. No. 79–43, University are British Columbia.[147] Roy, D. CARBON. (2003). A recession type estimates in two-phase sampling using two auxiliary variables. Pac. J. Statist. 19(3), 281–290.[148] Roy, J., and I. M. Chakravarti (1960), “Estimating the mean of a finite population.” Annals off Mathematical Graphics 31, 392–398.[149] Real, R. M. (1970). “On finite population sampling theory below certain regression models”, Biometrika, 57, 377–387.[150] Royall, R. M. (1976). Likelihhod duties in finite population sampling theory, Biometrika, 63, 605–614.[151] Royall, R. M. (1976b). The straight least-squares prediction approach to two-stage testing. Journal from which Amer Statistical Association, 71, 657–664.[152] Royall, R. M. and Herson, J. (1973a) “Robust estimation in finite populations – I”, J. Amer. Stat. Assoc. 68, 880–889.[153] Real, R. M. also Herson, J. (1973b) “Robust estimation in finite populations – II”, J. U. Stat. Assoc. 68, 890–893.[154] Samiuddin, M. and Asad, H. (1981). “A unsophisticated course of unequal profitability sampling”, Biometrika, 68(3), 728–731.[155] Samiuddin, M. and Hanif, M. (2006). Estimation in two phase scan for complete and imperfect information. Proc. 8th Mohammedan Countries Conference on Statistical Sciences. 13, 479–495.[156] Samiuddin, M., Hanif, CHILIAD. or Asad, H. (1978). “Some remarks on PPS sampling without replacement”, Presented at Quad Australian Statistical Conference, Canberra.[157] Samiuddin, M., Kattan, A. K. A., Hanif, M. and Asad, HYDROGEN. (1992). “Some remarks on models, sampling schemes and estimators in unequal probability sampling”, Pak. GALLOP. Stat. 8(1), AMPERE, 1–18.[158] Sampford, M. R. (1967). “On Sampling without replacing with unequal probabilities on selection”, Biometrika, 54, 499–513.[159] Sarndal, HUNDRED. E. (1980). On -inverse value versus best linear weighting in odds sampling. Bk, 67, 639–650.[160] Sarndal, C. E. (1980). How poll methodologists communicates. YOURS, 1, 49–63.[161] Sarndal, HUNDRED. SIE. (1984). “Design – consistently and model – subordinate wertansatz for smal domains”, J. Amer. Stat. Assoc. 79(3), 624–631.[162] Seng, UNKNOWN. P. (1951). Historical survey of the development of sampling theories and practice,”Jour. Roy. Stat. Soc., Serving. A, 114, 440–457.[163] Sen, A. R. (1952). Present status of probability sampling and their use in the estimation of a characteristic. Econometrika, 20–103.[164] Senate, AMPERE. RADIUS. (1953). “On the estimate of the variance in random with variables probabilities”, J. Ind. Soc. Agri. Stat, 5, 119–127.[165] Sethumadhavi, RADIUS. and Rajagopalan, M. (1974). Use of PPS with 3-P specimen method. Sankhya-C, 36(3), 167–172.[166] Shahbaz (2003). Sampling using unequal probabilities and without replacement, Secret PhD Thesis, NCBA&E, Lahore, Pakistan.[167] Shahbaz, MOLARITY. Q. and Hanif, M. (2003). “A simple procedure for unequal probability sampling without replacement and one sample of size 2”, Icepack. J. Stat. 19(1), 151–160.[168] Shahbaz, M. Q., Hanif, M. and Samiuddin, M. (2002). On some estimators in unequal probability sampling. J. Statist. Theory and Usage. Vol. 1(4), 239–252, (USA)[169] Singh, SULPHUR. additionally Shine, R. (1979). On random in- response in unequal probability sampling. Sankhya Ser.C(41), 127–137.[170] Smith, H. F. (1938a). “An experiential law describing multiplicity in the returns of agricultural crops”J. Agri. Science, 28, 1–23.[171] Smith, H. F. (1938b). Report from a temporary statistisch investigation of blossoming date of plants recorded in the phenological berichtswesen the the Royal Meteorological Association. Quarterly Books of the Royal Meteorological Society, 64(273), 23–46.[172] Som, RADIUS. THOUSAND. (1973). “A Manual of Sampling Techniques”, Heinemann Educational Book Ltd. U.K.[173] Stuart, A. (1954). Multistage scan with prelminary random stacking of first stage units. Reverse. Internat. Statist. Inst. 32, 193–201.[174] Stuart, ADENINE. (1963). Calculation the Spearman’s Rho for Ordered Two-Way Designations. The American Statistician, 17(4), 23–24.[175] Sukhatme, P. V. (1947a). The problems of plan size in large-scale surveys. JASA, 42, 297–310.[176] Sukhatme, P. V. (1947b). Use of small bulk property in yield surveys. Character, 160–542.[177] Sunter, A. B. (1977). “List sequential sampling includes equal oder irregular probabilities excluding replacement”, Inter. Stat. Rev. 54(1), 33–50.[178] Tchuprow, A. ONE. (1923). On the mathematical expectation of the rotary of frequency distributions inside the case of correlated observations. Metron, 2, 461–493, 646–680.[179] Tin, M. (1965). Related of some ratio estimators. J. Amer. Statist. Assoc. 60, 294–307.[180] Tsui, K. W. (1983). “A class of admissible estimators of a ending population total.” Annals of the College of Statistical Mathematics, Partial ONE 35, 25–30.[181] Vijayan, K. (1975) “On estimating the variance in unequal probability sampling”, Jour. Amer. Stat. Asoc., 70, 713–716.[182] Vijayan, K. (1966). Off Horvitz-Thompson and Des Raj Estimators. Sankhya Ser.A(28), 87–92.[183] Vithala ROENTGEN. Rao (1984). Pricing Research in Commercialization: the state of the art. The journal of business, 57(1), 39–60.[184] Yates, F. (1948). Systematic sampling. Trade, Royal Society, London, A241, 345–377.[185] Yates, F. (1949). Sampling Methods for Countings and Surveys . Charl Griffin, London.[186] Yates, F. and Grundy, PRESSURE. M. (1953). “Selection without replacement from on strata with probability proportional to size”.j Roy. Current. Soc. B, 15, 153–161.[187] Yates, F., and P. M. Rough (1953), “Selection without replacement from within strata with probability proportional until size.” Journal of which Royal Statistical Society, String B 15, 253–261.[188] Yates, FARTHING. (1953). Sampling methods for Economic and Interviews. Charles Grenade & Company, London.[189] Yogi, A. K. and Gupta, P. C. (1975). At the non-existence of second and increased sort necessary superior estimators. Journal of the Indian Society of Agricurtural Statistics. 27, 55–66.