[share_ebook] Continued Fractions in Statistical Applications (Statistics: a Series of Textbooks and Monogrphs) (Vol 103)


Author: K. O. Bowman, L. R. Shenton

Date: 1989-04-03

Pages: 330

Publisher: Marcel Dekker Inc

Category: Study

Tag: Mathematics


Posted on 2011-09-03, by sharebookfree.

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Continued Fractions in Statistical Applications (Statistics: a Series of Textbooks and Monogrphs) (Vol 103)


Continued Fractions in Statistical Applications (Statistics: a Series of Textbooks and Monogrphs) (Vol 103)
K. O. Bowman, L. R. Shenton | Marcel Dekker Inc | 1989-04-03 | 330 pages | English | DJVU

This book is an account of the use of continued fractions and Pad -sequences as tools in the interpretation of divergent or slowly convergent series occurring in theoretical statistics. In our early studies, an obstacle we had to overcome concerned the process of developing Taylor power series for moments of statistics, for example, the expected value of the sample standard deviation from some denned population. Traditionally one or two low-order terms sufficed because later terms involved increasingly heavy algebra that soon confounded the most ardent algebraist; the arrival of the digital computer in the 1950's had little impact on algorithmic approaches, which were generally not highly regarded, existing in a somewhat ill-defined gray area. With higher-order terms in series not available, the era of largeness of sample size was born as was the reliance from time to time on the uncertainties defined in the order of magnitude symbols (little o, big O).


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