## Introduction to Mathematical Statistics |

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Page 2

this coin is an example of a

the two numbers zero and one; that is, the sample space is the collection of these

two numbers. Example 2. In the cast of one red die and one white die, let the ...

this coin is an example of a

**random experiment**in which the outcome is one ofthe two numbers zero and one; that is, the sample space is the collection of these

two numbers. Example 2. In the cast of one red die and one white die, let the ...

Page 154

Suppose we are willing to accept as a fact that the outcome X of a

variance o” but unknown mean p. That is, p. is some constant, but its value is

unknown.

Suppose we are willing to accept as a fact that the outcome X of a

**random****experiment**is a random variable that has a normal distribution with knownvariance o” but unknown mean p. That is, p. is some constant, but its value is

unknown.

Page 301

The random variable Q. -1 may serve as the basis of the tests of certain statistical

hypotheses which we now discuss. Let the sample space of a

Ak.

The random variable Q. -1 may serve as the basis of the tests of certain statistical

hypotheses which we now discuss. Let the sample space of a

**random****experiment**be the union of a finite number k of mutually disjoint sets A1, A2, ...,Ak.

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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