Download or read book An Improved Suggestion in Stratified Random Sampling Using Two Auxiliary Variables written by Rajesh Singh and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we suggest an estimator using two auxiliary variables in stratified random sampling following Malik and Singh [12]. The propose estimator has an improvement over mean per unit estimator as well as some other considered estimators. Expressions for bias and MSE of the estimator are derived up to first degree of approximation. Moreover, these theoretical findings are supported by a numerical example with original data.
Download or read book Sampling Strategies for Finite Population Using Auxiliary Information written by Rajesh Singh, Florentin Smarandache and published by Infinite Study. This book was released on 2015-05-15 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book aims to present some improved estimators using auxiliary and attribute information in case of simple random sampling and stratified random sampling and in some cases when non-response is present. This volume is a collection of five papers, written by seven co-authors (listed in the order of the papers): Sachin Malik, Rajesh Singh, Florentin Smarandache, B. B. Khare, P. S. Jha, Usha Srivastava and Habib Ur. Rehman.
Download or read book The Efficient Use of Supplementary Information in Finite Population Sampling written by Rajesh Singh and published by Infinite Study. This book was released on 2014 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling, systematic sampling and stratified random sampling. This volume is a collection of five papers, written by nine co-authors (listed in the order of the papers): Rajesh Singh, Mukesh Kumar, Manoj Kr. Chaudhary, Cem Kadilar, Prayas Sharma, Florentin Smarandache, Anil Prajapati, Hemant Verma, and Viplav Kr. Singh. In first paper dual to ratio-cum-product estimator is suggested and its properties are studied. In second paper an exponential ratio-product type estimator in stratified random sampling is proposed and its properties are studied under second order approximation. In third paper some estimators are proposed in two-phase sampling and their properties are studied in the presence of non-response. In fourth chapter a family of median based estimator is proposed in simple random sampling. In fifth paper some difference type estimators are suggested in simple random sampling and stratified random sampling and their properties are studied in presence of measurement error.
Download or read book Uses of Sampling Techniques Inventory Control with Capacity Constraints written by Sachin Malik and published by Infinite Study. This book was released on with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of the present book is to suggest some improved estimators using auxiliary and attribute information in case of simple random sampling and stratified random sampling and some inventory models related to capacity constraints. This volume is a collection of five papers, written by six co-authors (listed in the order of the papers): Dr. Rajesh Singh, Dr. Sachin Malik, Dr. Florentin Smarandache, Dr. Neeraj Kumar, Mr. Sanjey Kumar & Pallavi Agarwal. In the first chapter authors suggest an estimator using two auxiliary variables in stratified random sampling for estimating population mean. In second chapter they proposed a family of estimators for estimating population means using known value of some population parameters. In Chapter third an almost unbiased estimator using known value of some population parameter(s) with known population proportion of an auxiliary variable has been used. In Chapter four the authors investigates a fuzzy economic order quantity model for two storage facility. The demand, holding cost, ordering cost, storage capacity of the own - warehouse are taken as trapezoidal fuzzy numbers. In Chapter five a two-warehouse inventory model deals with deteriorating items, with stock dependent demand rate and model affected by inflation under the pattern of time value of money over a finite planning horizon. Shortages are allowed and partially backordered depending on the waiting time for the next replenishment. The purpose of this model is to minimize the total inventory cost by using the genetic algorithm. This book will be helpful for the researchers and students who are working in the field of sampling techniques and inventory control.
Download or read book Two Phase Sampling written by Zahoor Ahmad and published by Cambridge Scholars Publishing. This book was released on 2014-09-26 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of estimators of population parameters based on two-phase sampling schemes has seen a dramatic increase in the past decade. Various authors have developed estimators of population using either one or two auxiliary variables. The present volume is a comprehensive collection of estimators available in single and two phase sampling. The book covers estimators which utilize information on single, two and multiple auxiliary variables of both quantitative and qualitative nature. The estimators discussed in the text are based upon different mechanisms of the availability of auxiliary information, termed here as Full, Partial and No Information. Multivariate estimators in survey sampling are also discussed in the book. Two Phase Sampling will prove an invaluable point of reference for researchers working in the field of survey sampling in general and in the field of two-phase sampling in particular.
Download or read book Studies in Sampling Techniques and Time Series Analysis written by Rajesh Singh, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Survey Sampling written by R. Singh and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Ranked Set Sampling written by Munir Ahmad and published by Cambridge Scholars Publishing. This book was released on 2010-09-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling is one of the new areas of study in this region of the world and is a growing subject of research. Recently, researchers have paid attention to the development of the types of sampling; though it was not welcome in the beginning, it has numerous advantages over the classical sampling techniques. Ranked Set Sampling is doubly random and can be used in any survey designs. The Pakistan Journal of Statistics had attracted statisticians and samplers around the world to write up aspects of Ranked Set Sampling. All of the essays in this book have been reviewed by many critics. This volume can be used as a reference book for postgraduate students in economics, social sciences, medical and biological sciences, and statistics. The subject is still a hot topic for MPhil and PhD students for their dissertations.
Download or read book Statistical Modeling and Applications on Real Time Problems written by Chandra Shekhar and published by CRC Press. This book was released on 2024-06-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the dynamic landscape of modern data analysis, this curated guide by global experts explores the latest in statistical methodologies, modeling techniques, and optimization strategies. This comprehensive text offers insights into diverse fields such as engineering, economics, medicine, and agriculture, addressing real-world challenges. It delves into the intricacies of the Lomax distribution under a Type II censoring scheme, exploring various loss functions. The compilation uncovers estimators for population proportion, product of two population means, and more, supported by empirical and simulation studies. Additionally, it scrutinizes the prevalence of caesarean section deliveries in India, correlating with socio-economic factors. This book · Traverses diverse fields for insights into real-world challenges. · Delves into the intricacies of the Lomax distribution under a Type II censoring scheme. · Uncovers estimators supported by empirical and simulation studies. · Scrutinizes the prevalence of caesarean section deliveries in India, correlating with socio-economic factors. This compilation promises a holistic exploration of advanced statistical and optimization methods, offering readers valuable insights into their pragmatic applications across a spectrum of real-world issues.
Download or read book Estimating the Population Mean in Stratified Population using Auxiliary Information under Non Response written by Manoj Kr. Chaudhary and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present chapter deals with the study of general family of factor-type estimators for estimating population mean of stratified population in the presence of nonresponse whenever information on an auxiliary variable are available.
Download or read book Survey Sampling Theory and Applications written by Raghunath Arnab and published by Academic Press. This book was released on 2017-03-08 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. Covers a wide spectrum of topics on survey sampling and statistics Serves as an ideal text for graduate students and researchers in survey sampling theory and applications Contains material on recent developments in survey sampling not covered in other books Illustrates theories using numerical examples and exercises
Download or read book Randomness and Optimal Estimation in Data Sampling written by M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache and published by Infinite Study. This book was released on 2007 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Use of an Auxiliary Variable in Optimum Stratification written by Spencer Theodore Chester and published by . This book was released on 1979 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: When stratification is employed to reduce the variance of an estimate of the population mean, and the population does not possess an a priori partitioning, the degree of reduction provided is affected by the method of allocation, by the number of strata, and by the choice of the stratum boundaries. However, the most effective use of either the method of allocation or the choice of the number of strata is attained when one employs the points of optimum stratification. It was shown by Dalenius (1950), when the stratification and study variables are identical, and by Dalenius and Gurney (1951), when the stratification is on an auxiliary variable related to the study variable by a known regression function, that the optimum stratification boundaries were theoretically obtainable as the solution of a system of non-linear equations. In practice, when nothing is known about the relationship between the study and auxiliary variables, Dalenius's original equations are used with the auxiliary variable as an approximation to the points of optimum stratification. Over the range of variable populations and regression functions commonly found in practice, an empirical study is made of the effect this approximation has on the reduction in variance compared with the use of simple random sampling. The effect these approximate boundary points have on the choice of the method of allocation is also considered. When something is known about the character of the regression function between the two variables, the cumbersome nature of the Dalenius- Gurney equations in practice suggests determining the stratum boundaries by employing one of a series of approximations proposed in the literature. An empirical study is made of the performance of these approximations, comparing the approximate boundaries with the optimum stratification boundaries. Finally, once the method of allocation and the mechanism for computing the stratum boundaries are chosen, the number of strata to use must be determined. An algorithm is introduced that quantifies the effect the increase in the number of strata has on the reduction in variance. With this algorithm, an emirical study is made of the approximations that have appeared in the literature designed to model the relationship between the number of strata and the precision of the estimate of the population mean.
Download or read book Information Computing and Applications Part II written by Rongbo Zhu and published by Springer Science & Business Media. This book was released on 2010-09-27 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Inf- mation Computing and Applications (ICICA 2010), which was held in Tangshan, China, October 15-18, 2010. As future-generation information technology, information computing and applications become specialized, information computing and applications - cluding hardware, software, communications and networks are growing with ever-increasing scale and heterogeneity and becoming overly complex. The c- plexity is getting more critical along with the growing applications. To cope with the growing and computing complexity, information computing and applications focus on intelligent, selfmanageable, scalable computing systems and applications to the maximum extent possible without human intervention or guidance. With the rapid development of information science and technology, infor- tion computing has become the third approach of science research. Information computing and applications is the ?eld of study concerned with constructing - telligent computing, mathematical models, numerical solution techniques and using computers to analyze and solve natural scienti?c, social scienti?c and engineering problems. In practical use, it is typically the application of c- puter simulation, intelligent computing, internet computing, pervasive comp- ing, scalable computing, trusted computing, autonomy-oriented computing, evolutionary computing, mobile computing, computational statistics, engine- ing computing, multimedia networking and computing, applications and other forms of computation problems in various scienti?c disciplines and engine- ing. Information computing and applications is an important underpinning for techniques used in information and computational science and there are many unresolved problems that address worth studying.
Download or read book Complex Surveys written by Thomas Lumley and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete guide to carrying out complex survey analysis using R As survey analysis continues to serve as a core component of sociological research, researchers are increasingly relying upon data gathered from complex surveys to carry out traditional analyses. Complex Surveys is a practical guide to the analysis of this kind of data using R, the freely available and downloadable statistical programming language. As creator of the specific survey package for R, the author provides the ultimate presentation of how to successfully use the software for analyzing data from complex surveys while also utilizing the most current data from health and social sciences studies to demonstrate the application of survey research methods in these fields. The book begins with coverage of basic tools and topics within survey analysis such as simple and stratified sampling, cluster sampling, linear regression, and categorical data regression. Subsequent chapters delve into more technical aspects of complex survey analysis, including post-stratification, two-phase sampling, missing data, and causal inference. Throughout the book, an emphasis is placed on graphics, regression modeling, and two-phase designs. In addition, the author supplies a unique discussion of epidemiological two-phase designs as well as probability-weighting for causal inference. All of the book's examples and figures are generated using R, and a related Web site provides the R code that allows readers to reproduce the presented content. Each chapter concludes with exercises that vary in level of complexity, and detailed appendices outline additional mathematical and computational descriptions to assist readers with comparing results from various software systems. Complex Surveys is an excellent book for courses on sampling and complex surveys at the upper-undergraduate and graduate levels. It is also a practical reference guide for applied statisticians and practitioners in the social and health sciences who use statistics in their everyday work.
Download or read book Advances in Sampling Theory Ratio Method of Estimation written by Hulya Cingi and published by Bentham Science Publishers. This book was released on 2009-08-11 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Ratio Method of Estimation - This is an ideal textbook for researchers interested in sampling methods, survey methodologists in government organizations, academicians, and graduate students in statistics, mathematics and biostatistics. This textbook makes"
Download or read book Advanced Sampling Methods written by Raosaheb Latpate and published by Springer Nature. This book was released on 2021-05-07 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses all major topics on survey sampling and estimation. It covers traditional as well as advanced sampling methods related to the spatial populations. The book presents real-world applications of major sampling methods and illustrates them with the R software. As a large sample size is not cost-efficient, this book introduces a new method by using the domain knowledge of the negative correlation between the variable of interest and the auxiliary variable in order to control the size of a sample. In addition, the book focuses on adaptive cluster sampling, rank-set sampling and their applications in real life. Advance methods discussed in the book have tremendous applications in ecology, environmental science, health science, forestry, bio-sciences, and humanities. This book is targeted as a text for undergraduate and graduate students of statistics, as well as researchers in various disciplines.
