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Beginning with the historical background of probability theory, this text examines various important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochastic convergence, and limit theorems. It provides an introduction to various types of statistical problems.
Illustrates fundamental principles and practices in statistical quality control for quality, reliability, and productivity in the management of production processes and industrial and business operations. Presenting the concepts of statistical quality control, this work provides a foundation in statistical quality control theory and applications.
Aims to provide descriptions of the developments in multiple comparison methods and selection procedures, while emphasizing biometry.
This handbook brings together both background material and new methodological and applied results that are extremely important to the current and future frontiers in empirical economics and finance. Well-recognized experts emphasize inferential issues that transpire in the analysis of cross-sectional, time series, and panel data-based empirical models in economics, finance, and related disciplines. Containing previously unpublished material on econometrics, the book focuses on micro (cross-section), macro and financial (time series), and panel data models. It provides a balanced viewpoint of different philosophical positions and statistical tools.
Exploring the application and formulation of the EM algorithm, this book offers a method for constructing statistical models when only incomplete information is available, and proposes specific estimation algorithms for solutions to incomplete data problems.
Presents the foundation processes and analytical practices for identifying, analyzing, measuring, and managing risk in traditional systems, systems-of-systems, and enterprise systems. This book covers the fundamental axioms and properties of probability as well as key aspects of decision analysis, such as risk/utility functions.
This book focuses on statistical methods which impinge more or less directly on the decisions that are made during the course of pharmaceutical and agro-chemical research, considering the four decision-making areas.
Explains the role of statistics in improving the quality of collecting and analyzing information for a wide variety of applications. The book examines the function of statisticians in quality improvement, and discusses such areas as statistical process control and quality statistical tables.
Offers an applications-oriented treatment of parameter estimation from complete and censored samples. This book contains notations, simplified formats for estimates, graphical techniques, and numerous tables and charts allowing users to calculate estimates and analyze sample data quickly and easily.
This book introduces English-speaking people the basic group method of data handling algorithm. It could be used as a reference source for researchers or as a textbook for specialized courses and seminars in modeling, applied mathematics, and applied statistics.
Describes the developed IRT models and furnishes explanations of algorithms that can be used to estimate the item or ability parameters under various IRT models. This work discusses parameter estimation with multiple groups, parameter estimation for a test with mixed item types, and Markov chain Monte Carlo methods.
This book is a compilation of topics addressed by the ASA Biopharmaceutical Section work groups, including the etiology and evolution of the work groups, the work group guidelines and structure, and the statistical issues associated with clinical trials in clinical drug development programs.
Discusses model discrimination based upon incorrect selection probability. This book presents diagnostic statistics and formal hypothesis test procedures to assess a model's fit and stability. It explains the use of computer computations such as the jackknife and bootstrap, and demon.
Offers experts and advanced students with a review of the status of the evolved theory of U-statistics.
This book presents ideas and procedures for regression analysis of survival data in cancer chemotherapy based on regression-based approaches for improvements in the quality of care through the effective location of optimal treatment levels. It is useful for cancer chemotherapists.
Describes the randomization test theory, hypotheses, and the role of random assignment. This work also features material on N-of-1 randomization tests and includes randomization test programs and FORTRAN codes.
A collection of proofs of fundamental theorems. This book covers such areas as estimations and testing in linear regression models under various sets of assumptions, and estimation and testing in simultaneous equations models.
This book presents the basic theory of linear models from a Bayesian viewpoint. It is unique in that time series models such as autoregressive moving average processes are treated as linear models in the same way the general linear model is examined.
This book delineates the history of Lp-norm estimation and examines the nonlinear Lp-norm estimation problem that is a viable alternative to least squares estimation problems. It is intended for both statisticians and applied mathematicians.
This book provides an overview of the commonly used statistical methodology. It is intended to enable professionals such as medical doctors, engineers, business executives, laboratory technicians, school teachers, and others to understand the basics of statistical thought through self study.
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