Mathematical Statistics With Applications

ISBN-13: 9781032477893 / Angielski / Miękka / 2023 / 644 str.

Asha Seth Kapadia; Wenyaw Chan; Lemuel A. Moyé

Opis

Mathematical statistics typically represents one of the most difficult challenges in statistics, particularly for those with more applied, rather than mathematical, interests and backgrounds. Most textbooks on the subject provide little or no review of the advanced calculus topics upon which much of mathematical statistics relies and furthermore contain material that is wholly theoretical, thus presenting even greater challenges to those interested in applying advanced statistics to a specific area.

Mathematical Statistics with Applications presents the background concepts and builds the technical sophistication needed to move on to more advanced studies in multivariate analysis, decision theory, stochastic processes, or computational statistics. Applications embedded within theoretical discussions clearly demonstrate the utility of the theory in a useful and relevant field of application and allow readers to avoid sudden exposure to purely theoretical materials.

With its clear explanations and more than usual emphasis on applications and computation, this text reaches out to the many students and professionals more interested in the practical use of statistics to enrich their work in areas such as communications, computer science, economics, astronomy, and public health.

Recenzje

"Mathematical Statistics with Applications meets an unmet need in advanced undergraduate and graduate programs. It is remarkable in its coverage to modern statistical theory with the necessary rigor and its applications to practical problems. Another unique feature is the inclusion of mathematical results needed to understand statistical theory and modern computational tools for data analysis. All these features make the book a self contained and unique text for imparting a balanced knowledge of statistics to students aspiring to be in statistics profession or pursue a research career. It will also be a fine reference text for applied scientists who require the occasional use of mathematical statistics."

-C.R. Rao, Sc. D., F.R.S. Member, National Academy of Science, USA, Eberly Professor Emeritus of Statistics, Director of the Center for Multivariate Analysis, Penn State University, University Park, Pennsylvania, USA

"Each chapter has a number of exercises, in total about two hundred and fifty."
-N. D. C. Veraverbeke, Short Book Reviews of the ISI

"…would be a reasonable textbook for the introductory mathematical statistics sequence at the graduate level. The many applications will be an aid to learning and any theoretical deficiencies can be supplemented in the classroom."
-Patricia Pepple Williamson, Virginia Commonwealth University, Journal of the American Statistical Association

Spis treści

Series Introduction. Preface. Introduction. Review of Mathematics. Probability Theory. Random Variables. Discrete Probability Distributions. Continuous Probability Distributions. Order Statistics. Limiting Approaches. Point Estimation. Computational Statistics. Hypothesis Testing. Interval Estimation. Index.

O autorze

Asha Seth Kapadia, Wenyaw Chan, Lemuel A. Moyé