Decide whether you would use a personal interview, telephone survey, or self-administered questionnaire. Give your reasons.
A survey of the residents of a new subdivision on why they happened to select that area in which to live. You also wish to secure some information about what they like and do not like about life in the subdivision.
A self-administered questionnaire is recommended here. A personal interview or a telephone survey may be a
bit intrusive. Depending upon how many families ...
A Complete, Neat and Step-by-step Solution is provided.
Sufficiency and Order Statistics
Let Y1<Y2<...<Yn be the order statistics of a random sample of size n from the uniform distribution over the closed interval [-theta, theta ]
having pdf f(x; theta ) = (1/2(theta))I[-theta , theta ](x).
Argue that the mle of theta; equals theta;hat= max(-Y1, Yn).
Demonstrate that the mle theta;hat is a sufficient statistic for theta;.
Define at least two ancillary statistics for this distribution
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