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＜電子ブック＞
Mathematical Statistics / by Bartel Leendert van der Waerden
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 156)

版	1st ed. 1969.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1969
本文言語	英語
大きさ	XI, 371 p : online resource
著者標目	*Waerden, Bartel Leendert van der author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Statistics  FREE:Probability Theory FREE:Statistics in Business, Management, Economics, Finance, Insurance
一般注記	One: General Foundations -- Two: Probabilities and Frequencies -- Three: Mathematical Tools -- Four: Empirical Determination of Distribution Functions, Expectations, and Standard Deviations -- Five: Fourier Integrals and Limit Theorems -- Six: Gauss Theory of Errors and Student’s Test -- Seven: Method of Least Squares -- Eight: Estimation of Unknown Constants -- Nine: Inferences Based on Observed Frequencies -- Ten: Bio-Assay -- Eleven: Hypothesis Testing -- Twelve: Order Tests -- Thirteen: Correlation -- Fourteen: Tables -- Examples, Arranged According to Subject Matter -- Author and Subject Index Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat­ edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc­ tions in which I worked at first. The examples are not artificially con­ structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana­ tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text­ books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer HTTP:URL=https://doi.org/10.1007/978-3-662-22137-2

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