## Introduction to Mathematical Statistics |

### From inside the book

Results 1-3 of 46

Page 253

Let X1, X2,..., Xn denote a random sample from a distribution which is n(9, o”), -

oo & 0 < oo, where g” is a given positive number. Let Y = X, the mean of the

random sample. Take the loss function to be 2|[0, w(y)] = |0 — w(y). If 6 is an

Let X1, X2,..., Xn denote a random sample from a distribution which is n(9, o”), -

oo & 0 < oo, where g” is a given positive number. Let Y = X, the mean of the

random sample. Take the loss function to be 2|[0, w(y)] = |0 — w(y). If 6 is an

**observed**...Page 260

Find the power function of the test. 10.3. Let X1, X2 be a random sample of size n

= 2 from the distribution having p.d. f. f(x; 6) = (1/6)e^*.*, 0 < x < oo, zero

elsewhere. We reject Ho: 6 = 2 and accept H1: 0 = 1 if the

X2, say ...

Find the power function of the test. 10.3. Let X1, X2 be a random sample of size n

= 2 from the distribution having p.d. f. f(x; 6) = (1/6)e^*.*, 0 < x < oo, zero

elsewhere. We reject Ho: 6 = 2 and accept H1: 0 = 1 if the

**observed**values of X1,X2, say ...

Page 302

If Ho is true, Table II, with k – 1 = 6 – 1 = 1 5 degrees of freedom, shows that we

have Pr(Q3 - 11.1) = 0.05. Now suppose the experimental frequencies of A1, A2, .

.., As are respectively 13, 19, 11, 8, 5, and 4. The

If Ho is true, Table II, with k – 1 = 6 – 1 = 1 5 degrees of freedom, shows that we

have Pr(Q3 - 11.1) = 0.05. Now suppose the experimental frequencies of A1, A2, .

.., As are respectively 13, 19, 11, 8, 5, and 4. The

**observed**value of Qs is (13 ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

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