ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 115 - 118 of 246

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 115

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Let Equation be a random sample from a density function Equation . A statistics

Equation is said to be sufficient statistics if the conditional distribution of Equation given T

Choices

Choice (4) Response

a.

Independent of Equation S

b.

Dependent of Equation

c.

Dependent of Equation

d.

Independent of Equation

Question number: 116

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

Method of least squares consists of

Choices

Choice (4) Response

a.

Minimizing the sum of squares of residuals

b.

Maximizing the sum of squares of residuals

c.

All of the above

d.

None of the above

Question number: 117

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

If a statistics Equation is a sufficient statistics for a parameter Equation of the density function Equation , then the conditional distribution of Equation is ………. of Equation for any value of Equation

Choices

Choice (4) Response

a.

Dependent

b.

Either dependent or Independent

c.

Independent

d.

All of the above

Question number: 118

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

Equation is sufficient for Equation if and only if the joint density functionEquation , of the sample values can be expressed in the form

Equation where Equation depends onEquation and Equation only through the value of Equation and Equation is independent of Equation . This Theorem is known as

Choices

Choice (4) Response

a.

Blackwell Theorem

b.

Rao-Blackwell Theorem

c.

Factorization Theorem

d.

Cramer-Rao Theorem

f Page
Sign In