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AuthorManoukian, Edward B. author
TitleModern Concepts and Theorems of Mathematical Statistics [electronic resource] / by Edward B. Manoukian
ImprintNew York, NY : Springer New York, 1986
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Descript 156 p. online resource


With the rapid progress and development of mathematical statistical methods, it is becoming more and more important for the student, the inยญ structor, and the researcher in this field to have at their disposal a quick, comprehensive, and compact reference source on a very wide range of the field of modern mathematical statistics. This book is an attempt to fulfill this need and is encyclopedic in nature. It is a useful reference for almost every learner involved with mathematical statistics at any level, and may suppleยญ ment any textbook on the subject. As the primary audience of this book, we have in mind the beginning busy graduate student who finds it difficult to master basic modern concepts by an examination of a limited number of existing textbooks. To make the book more accessible to a wide range of readers I have kept the mathematical language at a level suitable for those who have had only an introductory undergraduate course on probability and statistics, and basic courses in calculus and linear algebra. No sacrifice, howยญ ever, is made to dispense with rigor. In stating theorems I have not always done so under the weakest possible conditions. This allows the reader to readily verify if such conditions are indeed satisfied in most applications given in modern graduate courses without being lost in extra unnecessary mathematical intricacies. The book is not a mere dictionary of mathematical statistical terms


1 Fundamentals of Mathematical Statistics -- 1 Basic Definitions, Concepts, Results, and Theorems -- 2 Fundamental Limit Theorems -- 2 Statistical Distributions -- 3 Distributions -- 4 Some Relations Between Distributions -- Author Index

Mathematics Applied mathematics Engineering mathematics Probabilities Mathematics Probability Theory and Stochastic Processes Applications of Mathematics


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