Conjugate Direction Methods in Optimization presents a rigorous mathematical treatment of iterative methods used to solve optimization problems. The book focuses on conjugate direction and conjugate gradient techniques for minimizing functions in finite-dimensional spaces. It develops the theoretical foundations of these methods and discusses their convergence properties and computational effic…
Theory of Statistical Experiments is a mathematical monograph that develops a formal framework for statistical experiments within modern probability and decision theory. The book focuses on the structure of statistical models, sufficiency, likelihood methods, and optimal inference procedures. It presents a rigorous theoretical treatment aimed at understanding how information is extracted from d…
Brownian Motion (Stochastic Modelling and Applied Probability) is a mathematical monograph that develops a rigorous treatment of Brownian motion as a fundamental stochastic process. The book presents both theoretical foundations and advanced analytical techniques used in stochastic modeling and applied probability. It covers construction of Brownian motion, measure-theoretic formulation, sample…
Programmed Text in Statistics Book 3: The t-Test and Chi-Squared Goodness of Fit is a structured instructional textbook designed for self-paced learning in introductory inferential statistics. The book focuses on two fundamental hypothesis testing procedures: the t-test and the chi-squared (χ²) goodness-of-fit test. It explains how the t-test is used to compare sample means and assess statist…
On the History of Statistics and Probability (1976), edited by Donald B. Owen, is a collection of scholarly papers presented at a symposium held at Southern Methodist University. The volume explores the historical development of statistical science and probability theory from early foundations to modern applications. It covers key contributions from mathematicians and statisticians such as Fish…
An introductory textbook presenting statistical methods with applications in business and economics. It covers descriptive statistics, probability, sampling techniques, estimation, and hypothesis testing, with practical examples for decision-making in economic and business contexts.
This book offers a rigorous introduction to probability theory, covering fundamental concepts such as random variables, probability distributions, expectation, limit theorems, and stochastic processes. It is suitable for undergraduate and graduate students in mathematics and statistics.
This book provides an introduction to fundamental statistical concepts, including descriptive statistics, probability, sampling distributions, estimation, and hypothesis testing. It is designed for students in introductory statistics courses and emphasizes practical applications.
A standard textbook covering fundamental concepts of mathematical statistics including probability distributions, estimation methods, and hypothesis testing. Widely used in undergraduate and graduate studies.
This book provides a comprehensive introduction to mathematical statistics, including probability theory, distribution theory, estimation, and hypothesis testing. It is widely used as a textbook for advanced undergraduate and graduate students in statistics and mathematics.