01517nam a2200277Ia 4500 TVU_21771 210423s9999 xx 000 0 und d 052184472X 9780521844727 eng 515.782 S4985 Severini, Thomas A. Elements of distribution theory Thomas A. Severini New York, NY Cambridge University Press 2005 xii, 515 p. ill. 27 cm Includes bibliographical references (p. 503-505) and indexes This detailed introduction to distribution theory is designed as a text for the probability portion of the first year statistical theory sequence for Master's and PhD students in statistics, biostatistics, and econometrics. The text uses no measure theory, requiring only a background in calculus and linear algebra. Topics range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals and orthogonal polynomials. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book Distribution (Probability theory) Thomas A. Severini Trung tâm Học liệu Trường Đại học Trà Vinh