Introduction to Mathematical Statistics |
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Page 2
... random experiment in which the outcome is one of 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 outcome be the ordered ...
... random experiment in which the outcome is one of 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 outcome be the ordered ...
Page 79
... random experiment , the outcome of which can be classified in but one of two mutually exclusive and exhaustive ways , say , success or failure ( for example , head or tail , life or death , effective or noneffective , etc. ) . Let the ...
... random experiment , the outcome of which can be classified in but one of two mutually exclusive and exhaustive ways , say , success or failure ( for example , head or tail , life or death , effective or noneffective , etc. ) . Let the ...
Page 154
... random experiment is a random variable that has a normal distribution with known variance o2 but unknown mean μ . That is , μ is some con- stant , but its value is unknown . To elicit some information about μ , we decide to repeat the ...
... random experiment is a random variable that has a normal distribution with known variance o2 but unknown mean μ . That is , μ is some con- stant , but its value is unknown . To elicit some information about μ , we decide to repeat the ...
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A₁ A₂ accept accordance Accordingly alternative approximately assume called cent Chapter complete compute 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 H₁ Hence hypothesis 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 parameter 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 stochastically independent sufficient statistic symmetric matrix Table theorem transformation true unknown variables X1 variance W₁ X₁ X₂ Y₁ Y₂ zero elsewhere μ₁