Normal view

## An introduction to the theory of statistics / [by] R. L. Plackett.

Editor: Edinburgh : Oliver and Boys 1971Descripción: 204 p. ; 22 cmISBN: 0050023322Tema(s): Mathematical statisticsOtra clasificación: *CODIGO*
Contenidos:
```CHAPTER 1 STATISTICS AND PROBABILITY --
1 Introduction [1] --
2 Frequency and probability [4] --
3 Axioms of probability [7] --
4 Consequences of the axioms [9] --
5 Independence [12] --
Exercises 1 [15] --
CHAPTER 2 DISCRETE PROBABILITY DISTRIBUTIONS --
6 Binomial distribution [17] --
7 Poisson distribution [20] --
8 Hypergeometric distribution [22] --
9 Discrete variates [24] --
10 Discrete multivariate distributions [27] --
Exercises 2 [29] --
CHAPTER 3 CONTINUOUS PROBABILITY DISTRIBUTIONS --
11 Continuous variates [32] --
12 Exponential distribution [35] --
13 Normal distribution [38] --
14 Several continuous variates [43] --
15 Normal bivariate distribution [46] --
Exercises 3 [49] --
CHAPTER 4 PROPERTIES OF VARIATES --
16 Mean values [52] --
17 Moments for one variate [55] --
18 Measures of location and spread [60] --
19 Moments for several variates [61] --
20 Correlation and regression [65] --
Exercises 4 [68] --
CHAPTER 5 CALCULUS OF DISTRIBUTIONS --
21 Functions of one variate [71] --
22 Functions of several variates [74] --
23 Distribution of x2 [79] --
24 Probability generating functions [83] --
25 Moment generating functions 85 Exercises 5 [90] --
CHAPTER 6 RANDOM SAMPLES --
26 Random samples [92] --
27 Random sampling numbers [93] --
28 Sample moments [95] --
29 Calculation of sample mean and variance [99] --
30 Order statistics [101] --
Exercises 6 [105] --
CHAPTER 7 STATISTICAL INFERENCE --
31 Statistical inference [108] --
32 Likelihood [109] --
33 Point estimation [111118] --
34 Sufficient statistics [115] --
35 Principle of maximum likelihood --
36 Confidence intervals [120] --
37 Tests of hypotheses [123] --
Exercises 7 [127] --
CHAPTER 8 NORMAL SAMPLES --
38 One normal sample [130] --
39 Two normal samples [133] --
40 Several normal samples [134] --
41 Analysis of variance [138] --
42 Fixed and random effects [140] --
Exercises 8 [142] --
CHAPTER 9 LINEAR STATISTICAL MODELS --
43 Linear regression [145] --
44 Principle of least squares [147] --
45 Distributions of linear regression --
46 Two-way layouts [157] --
Exercises 9 [161152] --
CHAPTER 10 ASYMPTOTIC DISTRIBUTIONS --
47 Convergence of variates [164] --
48 Central limit theorem [168] --
49 Limit theory for discrete distributions [170] --
50 Limit theory for order statistics [173] --
51 Limit theory for maximum likelihood estimators 175 Exercises 10 [176] --
CHAPTER 11 ANALYSIS OF FREQUENCIES --
52 Binomial variates [178] --
53 Poisson variates [181] --
54 Exact test procedures [185] --
55 Multinomial variates with specified probabilities [188] --
56 Multinomial variates with unknown probabilities 190 Exercises 11 [195] --
Bibliography [199] --
Statistical Tables [200] --
Sources of Data and Author Index [200] --
Subject Index [201] --```
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Bibliography: p. 199-200.

CHAPTER 1 STATISTICS AND PROBABILITY --
1 Introduction [1] --
2 Frequency and probability [4] --
3 Axioms of probability [7] --
4 Consequences of the axioms [9] --
5 Independence [12] --
Exercises 1 [15] --
CHAPTER 2 DISCRETE PROBABILITY DISTRIBUTIONS --
6 Binomial distribution [17] --
7 Poisson distribution [20] --
8 Hypergeometric distribution [22] --
9 Discrete variates [24] --
10 Discrete multivariate distributions [27] --
Exercises 2 [29] --
CHAPTER 3 CONTINUOUS PROBABILITY DISTRIBUTIONS --
11 Continuous variates [32] --
12 Exponential distribution [35] --
13 Normal distribution [38] --
14 Several continuous variates [43] --
15 Normal bivariate distribution [46] --
Exercises 3 [49] --
CHAPTER 4 PROPERTIES OF VARIATES --
16 Mean values [52] --
17 Moments for one variate [55] --
18 Measures of location and spread [60] --
19 Moments for several variates [61] --
20 Correlation and regression [65] --
Exercises 4 [68] --
CHAPTER 5 CALCULUS OF DISTRIBUTIONS --
21 Functions of one variate [71] --
22 Functions of several variates [74] --
23 Distribution of x2 [79] --
24 Probability generating functions [83] --
25 Moment generating functions 85 Exercises 5 [90] --
CHAPTER 6 RANDOM SAMPLES --
26 Random samples [92] --
27 Random sampling numbers [93] --
28 Sample moments [95] --
29 Calculation of sample mean and variance [99] --
30 Order statistics [101] --
Exercises 6 [105] --
CHAPTER 7 STATISTICAL INFERENCE --
31 Statistical inference [108] --
32 Likelihood [109] --
33 Point estimation [111118] --
34 Sufficient statistics [115] --
35 Principle of maximum likelihood --
36 Confidence intervals [120] --
37 Tests of hypotheses [123] --
Exercises 7 [127] --
CHAPTER 8 NORMAL SAMPLES --
38 One normal sample [130] --
39 Two normal samples [133] --
40 Several normal samples [134] --
41 Analysis of variance [138] --
42 Fixed and random effects [140] --
Exercises 8 [142] --
CHAPTER 9 LINEAR STATISTICAL MODELS --
43 Linear regression [145] --
44 Principle of least squares [147] --
45 Distributions of linear regression --
46 Two-way layouts [157] --
Exercises 9 [161152] --
CHAPTER 10 ASYMPTOTIC DISTRIBUTIONS --
47 Convergence of variates [164] --
48 Central limit theorem [168] --
49 Limit theory for discrete distributions [170] --
50 Limit theory for order statistics [173] --
51 Limit theory for maximum likelihood estimators 175 Exercises 10 [176] --
CHAPTER 11 ANALYSIS OF FREQUENCIES --
52 Binomial variates [178] --
53 Poisson variates [181] --
54 Exact test procedures [185] --
55 Multinomial variates with specified probabilities [188] --
56 Multinomial variates with unknown probabilities 190 Exercises 11 [195] --
Bibliography [199] --
Statistical Tables [200] --
Sources of Data and Author Index [200] --
Subject Index [201] --

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