Mathematical Methods in Sample Surveys PDF Download
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Author: Howard G. Tucker
Publisher: World Scientific
ISBN: 9789810226176
Category : Mathematics
Languages : en
Pages : 226
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Book Description
This book is about both the mathematics of sample surveys and about sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and it could actually serve as an introduction to statistics. A sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling, sampling with unequal probabilities, linear relationships, stratified sampling, cluster sampling and two-stage sampling.
Author: Howard G. Tucker
Publisher: World Scientific
ISBN: 9789810226176
Category : Mathematics
Languages : en
Pages : 226
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Book Description
This book is about both the mathematics of sample surveys and about sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and it could actually serve as an introduction to statistics. A sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling, sampling with unequal probabilities, linear relationships, stratified sampling, cluster sampling and two-stage sampling.
Author: Howard G Tucker
Publisher: World Scientific
ISBN: 981449917X
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This book is about both the mathematics of sample surveys and about sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and it could actually serve as an introduction to statistics. A sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling, sampling with unequal probabilities, linear relationships, stratified sampling, cluster sampling and two-stage sampling. Contents:Events and ProbabilityRandom VariablesExpectationConditional ExpectationLimit TheoremsSimple Random SamplingUnequal Probability SamplingLinear RelationshipsStratified SamplingCluster SamplingTwo-Stage Sampling Readership: Mathematical statisticians. keywords:Discrete Probability;Simple Random Sampling;Unequal Probability Sampling;Stratified Sampling;Cluster Sampling;Two-Stage Sampling;Ratio Estimation “The book is well written and could serve as a very good supplement to more traditional courses in mathematical statistics. It could also be recommended to interested students as a supplementary reading.” Mathematical Reviews
Author: Gupta Arjun K
Publisher: World Scientific Publishing Company
ISBN: 9813107960
Category : Mathematics
Languages : en
Pages : 236
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Book Description
Sample surveys is the most important branch of statistics. Without sample surveys there is no data, and without data there is no statistics. This book is the culmination of the lecture notes developed by the authors. The approach is theoretical in the sense that it gives mathematical proofs of the results in sample surveys. Intended as a textbook for a one-semester course for undergraduate seniors or first-year graduate students, a prerequisite basic knowledge of algebra, calculus, and statistical theory is required to master the techniques described in this book.
Author: R. Singh
Publisher: Springer Science & Business Media
ISBN: 9401714045
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Modern statistics consists of methods which help in drawing inferences about the population under consideration. These populations may actually exist, or could be generated by repeated· experimentation. The medium of drawing inferences about the population is the sample, which is a subset of measurements selected from the population. Each measurement in the sample is used for making inferences about the population. The populations and also the methods of sample selection differ from one field of science to the other. Social scientists use surveys tocollectthe sample information, whereas the physical scientists employ the method of experimentation for obtaining this information. This is because in social sciences the factors that cause variation in the measurements on the study variable for the population units can not be controlled, whereas in physical sciences these factors can be controlled, at least to some extent, through proper experimental design. Several excellent books on sampling theory are available in the market. These books discuss the theory of sample surveys in great depth and detail, and are suited to the postgraduate students majoring in statistics. Research workers in the field of sampling methodology can also make use of these books. However, not many suitable books are available, which can be used by the students and researchers in the fields of economics, social sciences, extension education, agriculture, medical sciences, business management, etc. These students and workers usually conduct sample surveys during their research projects.
Author: Morris H. Hansen
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 668
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Book Description
VOLUME ONE: 1. An elementary survey of sampling principles -- 2. Biases and nonsampling errors in survey results -- 3. Sample designs for some common sampling problems -- 4. Simple random sampling -- 5. Stratified simple random sampling -- 6. Simple one- or two-stage cluster sampling -- 7. Stratified single- or multi-stage cluster sampling -- 8. Control of variation in size of cluster in estimating totals, averages, or ratios -- 9. Multi-stage sampling with large primary sampling units -- 10. Estimating variances -- 11. Regression estimates, double sampling, sampling for time series, systematic sampling, and other sampling methods -- 12. Case studies--designs and results of some actual sample surveys -- VOLUME TWO: 1. Introduction and definitions -- Fundamental theory -- 2. Operations, events and probability -- 3. Random variables, expected values, variances, covariances, and convergence in probability -- Derivations, proofs, and some extensions of theory for corresponding chapters of volume 1 -- 4. Simple random sampling -- 5. Stratified simple random sampling -- 6. Simple one- or more stage cluster sampling -- 7. Stratified single- or multi-stage cluster sampling -- 8. Control of variation in size of cluster in estimating totals, averages, or ratios -- 9. Multi-stage sampling with large primary sampling units -- 10. Estimating variances -- 11. Regression estimates, double sampling, sampling for time series, and other sampling methods -- A theory for response errors -- 12. Response errors in surveys.
Author:
Publisher: Elsevier
ISBN: 9780080932217
Category : Mathematics
Languages : en
Pages : 722
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Book Description
This new handbook contains the most comprehensive account of sample surveys theory and practice to date. It is a second volume on sample surveys, with the goal of updating and extending the sampling volume published as volume 6 of the Handbook of Statistics in 1988. The present handbook is divided into two volumes (29A and 29B), with a total of 41 chapters, covering current developments in almost every aspect of sample surveys, with references to important contributions and available software. It can serve as a self contained guide to researchers and practitioners, with appropriate balance between theory and real life applications. Each of the two volumes is divided into three parts, with each part preceded by an introduction, summarizing the main developments in the areas covered in that part. Volume 29A deals with methods of sample selection and data processing, with the later including editing and imputation, handling of outliers and measurement errors, and methods of disclosure control. The volume contains also a large variety of applications in specialized areas such as household and business surveys, marketing research, opinion polls and censuses. Volume 29B is concerned with inference, distinguishing between design-based and model-based methods and focusing on specific problems such as small area estimation, analysis of longitudinal data, categorical data analysis and inference on distribution functions. The volume contains also chapters dealing with case-control studies, asymptotic properties of estimators and decision theoretic aspects. Comprehensive account of recent developments in sample survey theory and practice Discusses a wide variety of diverse applications Comprehensive bibliography
Author: Arijit Chaudhuri
Publisher: CRC Press
ISBN: 1351650726
Category : Mathematics
Languages : en
Pages : 189
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Book Description
This venture aspires to be a mix of a textbook at the undergraduate and postgraduate levels and a monograph to catch the attention of researchers in theoretical and practical aspects of survey sampling at diverse levels demanding a comprehensive review of what useful materials have preceded, with an eye to what beacons to the depth of the imminent future.
Author: Arijit Chaudhuri
Publisher: CRC Press
ISBN: 1420028634
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Since publication of the first edition in 1992, the field of survey sampling has grown considerably. This new edition of Survey Sampling: Theory and Methods has been updated to include the latest research and the newest methods. The authors have undertaken the daunting task of surveying the sampling literature of the past decade to provide an outst
Author: Morris Howard Hansen
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 670
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Book Description
This Set contains: Sample Survey Methods and Theory, Volume 1, Methods and Applications by Morris H. Hansen, William N. Hurwitz and William G. Madow; Sample Survey Methods and Theory, Volume 2, Theory by Morris H. Hansen, William N. Hurwitz and William G. Madow.
Author: M. Thompson
Publisher: CRC Press
ISBN: 9780412317804
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Following the chronological development of sample surveys, this book provides an analysis of the mathematical and statistical theory of the subject. The text begins with the mathematics of randomized sampling designs as well as a general treatment of estimation of population totals through the Horvits-Thompson estimator and its variants. The book then examines approximations and limit theorems for the distribution of the estimators and design-based estimation of other population quantities. It concludes with chapters concerning inference from surveys. Theory of Sample Surveys will assist in a range of applications, including: auditing quality monitoring market research wildlife surveys mining exploration agriculture and business surveys population health studies This book acts as an exceptional resource for survey methodologists in government organizations as well as lecturers and graduate students in statistics and biostatistics.
