## Introduction to Mathematical Statistics |

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Page 2

For illustration, in Example 2, A might be the collection of every ordered pair of .2/

in which the sum of the pair is equal to seven. If, upon the performance of the

experiment, the outcome is in A, we shall say that the

For illustration, in Example 2, A might be the collection of every ordered pair of .2/

in which the sum of the pair is equal to seven. If, upon the performance of the

experiment, the outcome is in A, we shall say that the

**event**A has occurred.Page 3

Use any experience you may have had (or use your intuition) to assign a value to

the probability p of the

an unbiased coin where the

Use any experience you may have had (or use your intuition) to assign a value to

the probability p of the

**event**A in each of the following instances: (a) The toss ofan unbiased coin where the

**event**A is tails. (b) The cast of an honest die where ...Page 32

Frequently, the integer k is called the total number of ways (for this particular

partition of &) in which the random experiment can terminate and the integer r is

called the number of ways that are favorable to the

terminology, ...

Frequently, the integer k is called the total number of ways (for this particular

partition of &) in which the random experiment can terminate and the integer r is

called the number of ways that are favorable to the

**event**E. So, in thisterminology, ...

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accept accordance Accordingly alternative approximately assume called cent Chapter complete compute conditional confidence interval Consider constant continuous type critical region decision defined definition degrees of freedom denote a random depend determine discrete type distribution function equal Equation event Example EXERCISES exists expected fact given Hence inequality integral interval joint p.d.f. Let X1 likelihood marginal matrix maximum mean moment-generating function mutually stochastically independent normal distribution Note observed order statistics outcome parameter Pr(X probability density functions problem proof prove random experiment random interval random sample random variable ratio reject respectively result sample space Show significance level simple hypothesis ſº stochastically independent sufficient statistic symmetric matrix Table theorem transformation true unknown variance write X1 and X2 zero elsewhere