Introduction to statistics

OpenStax

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Discrete distributions

Discrete distribution

0.1 Discrete distribution

0.2 Random variable of discrete type

1 Mathematical expectation

2 The mean, variance, and standard deviation

3 Bernoulli trials and the binomial distribution

4 Geometric distribution

4.1 Geometric distribution

5 Poisson distribution

Continuous distributions

Continuous distribution

1 The uniform and exponential distributions

2 The gamma and chi-square distributions

3 Normal distribution

4 The t distribution

1 Confidence intervals i

2 Confidence intervals ii

4 Maximum likelihood estimation (mle)

5 Maximum likelihood estimation - examples

5.1 Maximum likelihood estimation - examples

5.2 Exponential distribution

5.3 Geometric distribution

5.4 Normal distribution

5.5 Binomial distribution

5.6 Poisson distribution

6 Asymptotic distribution of maximum likelihood estimators

Tests of statistical hypotheses

Test about proportions

0.1 Test about proportions

1 Tests about one mean and one variance

2 Test of the equality of two independent normal distributions

2.1 Test of the equality of two independent normal distributions

3 Best critical regions

4 Hypotheses testing

Pseudo - numbers

1 Pseudo-random variable generators, cont.

2 The iverse probability method for generating random variables

Source: OpenStax, Introduction to statistics. OpenStax CNX. Oct 09, 2007 Download for free at http://cnx.org/content/col10343/1.3

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