Fundamentals of Mathematical Statistics: Probability for Statistics

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Springer, Aug 17, 1989 - Mathematics - 432 pages
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This is the first half of a set of lecture notes with exercises - a text - for two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career. To study this text, the reader needs a thorough familiarity with calculus including such things as Jacobians and series but somewhat less intense familiarity with matrices including quadratic forms and eigenvalues. For convenience, these lecture notes were divided into two parts: Volume I, Probability for Statistics, for the first semester, and Volume II, Statistical Inference, for the second.
  

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Contents

ELEMENTARY PROBABILITY AND STATISTICS
1
LESSON 1 RELATIVE FREQUENCY
3
LESSON 2 SAMPLE SPACES
11
LESSON 3 SOME RULES ABOUT SETS
19
LESSON 4 THE COUNTING FUNCTION FOR FINITE SETS
27
LESSON 5 PROBABILITY ON FINITE SAMPLE SPACES
36
LESSON 6 ORDERED SELECTIONS
43
LESSON 7 UNORDERED SELECTIONS
49
LESSON 6 SOME ALGEBRA OF RANDOM VARIABLES
226
LESSON 7 CONVERGENCE OF SEQUENCES OF RANDOM VARIABLES
233
LESSON 8 CONVERGENCE ALMOST SURELY AND IN PROBABILITY
241
LESSON 9 INTEGRATION I
249
LESSON 10 INTEGRATION II
256
LESSON 11 THEOREMS FOR EXPECTATION
266
LESSON 12 STIELTJES INTEGRALS
275
LESSON 13 PRODUCT MEASURES AND INTEGRALS
285

LESSON 8 SOME UNIFORM PROBABILITY SPACES
57
LESSON 9 CONDITIONAL PROBABILITYINDEPENDENCE
63
LESSON 10 BAYES RULE
72
LESSON 11 RANDOM VARIABLES
77
LESSON 12 EXPECTATION
84
LESSON 13 A HYPERGEOMETRIC DISTRIBUTION
93
LESSON 14 SAMPLING AND SIMULATION
99
LESSON 15 TESTING SIMPLE HYPOTHESES
104
LESSON 16 AN ACCEPTANCE SAMPLING PLAN
115
LESSON 17 THE BINOMIAL DISTRIBUTION
123
LESSON 18 MATCHING AND CATCHING
140
LESSON 19 CONFIDENCE INTERVALS FOR A BERNOULLI 0
150
LESSON 20 THE POISSON DISTRIBUTION
166
LESSON 21 THE NEGATIVE BINOMIAL DISTRIBUTION
177
PROBABILITY AND EXPECTATION
184
LESSON 1 SOME SET THEORY
186
LESSON 2 BASIC PROBABILITY THEORY
194
LESSON 3 THE CUMULATIVE DISTRIBUTION FUNCTION
201
LESSON 4 SOME CONTINUOUS CDFs
208
LESSON 5 THE NORMAL DISTRIBUTION
216
LIMITING DISTRIBUTIONS
292
DISCRETE
294
DISCRETE
303
CONTINUOUS
313
CONTINUOUS
322
Lesson 5 Expectation Examples
334
LESSON 6 CONVERGENCE IN MEAN EM DISTRIBUTION
340
LESSON 7 OTHER RELATIONS IN MODES OF CONVERGENCE
349
LESSON 8 LAWS OF LARGE NUMBERS
358
LESSON 9 CONVERGENCE OF SEQUENCES OF DISTRIBUTION FUNCTIONS
366
LESSON 10 CONVERGENCE OF SEQUENCES OF INTEGRALS
373
LESSON 11 ON THE SUM OF RANDOM VARIABLES
380
LESSON 12 CHARACTERISTIC FUNCTIONS I
388
LESSON 13 CHARACTERISTIC FUNCTIONS II
398
LESSON 14 CONVERGENCE CHARACTERISTIC FUNCTIONS OF SEQUENCES OF CHARACTERISTIC FUNCTIONS
406
LESSON 15 CENTRAL LIMIT THEOREMS
415
REFERENCES
425
INDEX
427
Copyright

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JSTOR: Fundamentals of Mathematical Statistics.
Fundamentals of Mathematical Statistics. By ht Nguyen and gs Rogers. Springer- Verlag, New York, 1989. Vol. I: Probability for Statistics. x + 432 pp. ...
links.jstor.org/ sici?sici=0036-1445(199106)33%3A2%3C291%3AFOMS%3E2.0.CO%3B2-M

Fundamentals of Mathematical Statistics (ht Nguyen and gs Rogers ...
Fundamentals of Mathematical Statistics (ht Nguyen and gs Rogers). [SIAM Review 33, 291 (1991)]. Kenneth N. Berk.
link.aip.org/ link/ ?SIREAD/ 33/ 291/ 1

MATHEMATICAL STATISTICS BOOKS ----------------------------- From ...
AUTHOR: Nguyen, ht TITLE: Fundamentals of mathematical statistics / ht Nguyen, gs Rogers PART TITLE: Vol. 1 : Probability for statistics PUBLICATION: New ...
users.utu.fi/ nicbolo/ BOOKS/ STATISTI/ statmath.txt

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Fundamentals Of Mathematical Statistics. 정가, 130800원. 판매가, 130800원 + 수수료 (0% DC). 적립금, 2600(2%). ISBN10, 0387970142. ISBN13, 9780387970141 ...
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Fundamentals of mathematical statistics. v. 2. Statistical inference.-N.-Y.: Springer, 1989.-422 p.-bibl.: pp414-417. [3207]: αχτο: Nguyen ht, Rogers gs ...
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Fundamentals Of Mathematical Statistics / Probability For Statistics (V. 1) ... Fundamentals Of Mathematical Statistics / Probability For Statistics ...
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Fundamentals of mathematical statistics. - / 1989 - Livros
Fundamentals of mathematical statistics. New York: Springer-Verlag, c1989. 2 v. ISBN 0387970142 (v. 1 : alk. Número de Chamada: ma2 -
volterra.impa.br/ arquivos/ 15000/ 19700/ 105_19760.htm

Bibliothek
nguyenh1989a, ht Nguyen and gs Rogers, Fundamentals of Mathematical Statistics, Berlin, Heidelberg, New York, Tokyo, Springer-Verlag, 1, QH 20 N(1), ...
kaldor.vwl.uni-hannover.de/ bib.php

Gesamtbestand — Fachgebiete/ Professuren
Blassgelb=Fehlend. Abegg, Birgit, 2000, Langenscheidt Geschäftsbriefe Englisch, 2001-42532, Langenscheidt, 3-468-40922-2, 1 ...
lehre.wiwi.hu-berlin.de/ Professuren/ quantitativ/ statistik/ members/ personalpages/ isebib/ Gesamt

ht nguyen libri - I Libri dell'autore: ht Nguyen ...
Fundamentals of Mathematical Statistics · Fundamentals of Mathematical Statistics di ht Nguyen, gs Rogers - Springer - July 1989. Prezzo: € 123.23 ...
www.libreriauniversitaria.it/ books-author_h+t+nguyen-h+t+nguyen.htm

About the author (1989)

Nguyen, New Mexico State University, Las Cruces