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First Course Mathematical Statistics by C.E. Weatherburn

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About this book :-
First Course Mathematical Statistics written by C.E. Weatherburn.
The object of this work is to provide a mathematical text on the Theory of Statistics, adapted to the needs of the student with an average mathematical equipment, including an ordinary knowledge of the Integral Calculus. The subject treated in the following pages is best described not as Statistical Methods but as Statistical Mathematics, or the mathematical foundations of the interpretation of statistical data. The writer's aim is to explain the underlying principles, and to prove the formulae and the validity of the methods which are the common tools of statisticians. Numerous examples are given to illustrate the use of these formulae ; but, in nearly all cases, heavy arithmetic is purposely avoided in the desire to focus the attention on the principles and proofs, rather than on the details of numerical calculation.
The treatment is based on a course of about sixty lectures on Statistical Mathematics, which the author has given annually in the University of Western Australia for several years. This course was undertaken at the request of the heads of some of the science departments, who desired for their students a more mathematical treatment of the subject than those usually provided by courses on Statistical Methods. The class has included graduates and undergraduates whose researches and studies were in Agriculture, Biology, Economics, Psychology, Physics and Chemistry. On account of such a diversity of interest the lectures were designed to provide a mathematical basis, suitable for work in any of the above subjects. No technical knowledge of any particular subject was assumed.

Book Detail :-
Title: First Course Mathematical Statistics
Edition:
Author(s): C.E. Weatherburn
Publisher: Cambridge University Press
Series:
Year: 1949
Pages: 302
Type: PDF
Language: Englsih
ISBN: 0521067502,9780521067508
Country: Astralia
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About Author :- Charles Ernest Weatherburn (1884–1974) was an Australian mathematician. Weatherburn graduated from the University of Sydney an MA in 1906. After being awarded a scholarship he studied at Trinity College, Cambridge sitting the Mathematical Tripos examinations in 1908. Weatherburn was awarded a First Class degree. On his return to Australia, Weatherburn taught at Ormond College of the University of Melbourne.
In 1923 was appointed chair of mathematics in Canterbury College, University of New Zealand. He returned to Australia in 1929 as chair of mathematics at the University of Western Australia, a post he held until he retired in 1950.

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Book Contents :-
First Course Mathematical Statistics written by C.E. Weatherburn cover the following topics. '
1. FREQUENCY DISTRIBUTIONS
2. PROBABILITY AND PROBABILITY DISTRIBUTIONS
3. SOME STANDARD DISTRIBUTIONS
4. BIVARIATE DISTRIBUTIONS.
5. FURTHER CORRELATION THEORY. CURVED REGRESSION LINES
6. THEORY OF SIMPLE SAMPLING
7. STANDARD ERRORS OP STATISTICS
8. BETA AND GAMMA DISTRIBUTIONS
9. CHI-SQUARE AND SOME APPLICATIONS
10. FURTHER TESTS OF SIGNIFICANCE. SMALL SAMPLES
11. ANALYSIS OF VARIANCE AND COVARIANCE
12. MULTIVAKIATE DISTRIBUTIONS. PARTIAL AND MULTIPLE CORRELATIONS
LITERATURE FOR REFERENCE
INDEX
TABLES


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