Statistical Inference and Hypothesis Testing-Factorization Theorem (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 3 - 5 of 5

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: 3

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

Factorization theorem for sufficiency is known as

Choices

Choice (4) Response
a.

Rao-Blackwell Theorem

b.

Fisher-Neyman Theorem

c.

Bernoulli Theorem

d.

Cramer-Rao Theorem

Question number: 4

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

If x1,x2,..,xn is a random sample from a density function f(xi;θ) for a<xi<b where aandb are independent of θ , then any statistics t1=t1(x1,x2,..,xn) will be called as sufficient statistics if the joint probability density function can be expressed as

Choices

Choice (4) Response
a.

g1(t1,θ).h(x1,x2,..,xn;θ)

b.

g1(t1,θ).h(x1,x2,..,xn)

c.

g1(t1,xi).h(x1,x2,..,xn)

d. Question does not provide sufficient data or is vague

Question number: 5

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

If T=t(x1,x2,..,xn) is a statistics for a parameter θ of the density function f(x;θ) and f(xi;θ) for i = 1, 2, …, n can be factorized as gθ[t(x)].h(x) , Then T=t(x1,x2,..,xn) is a ________

Choices

Choice (4) Response
a.

Efficient Estimator

b.

Consistent Estimator

c.

Unbiased Estimator

d.

Sufficient Estimator

Sign In