ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern): Questions 35 - 39 of 39

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 39 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: 35

» Estimation » Optimal Properties » Complete Statistics

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Let X 1, X 2, … X n be a random sample from the binomial distribution with probability mass function

Examine whether the statistic is complete for this distribution.

Explanation

… (58 more words) …

Question number: 36

» Multivariate Analysis » Multivariate Normal Distribution » Mutliple Correlation Coefficient

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Let X 1, X 2, …, X n be a random sample from an population with , a positive definite matrix. Derive 100 (1-α) % simultaneous confidence interval for for all .

Explanation

… (139 more words) …

Question number: 37

» Multivariate Analysis » Principal Components » Correlations

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Let

Determine

(i) The principal components y 1, y 2 and y 3.

(ii) The proportion of variance explained each one of them.

(iii) Correlation between the first principal components y 1 and the third original random variable.

Explanation

… (149 more words) …

Question number: 38

» Hypotheses Testing » Uniformly Most Powerful Test

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Fins a Most powerful test for testing the simple hypothesis against the simple alternative hypothesis based on n random observations from N (µ, σ 2) where µ is know. Show that this MP test is UMP (Uniformly most powerful).

Explanation

… (94 more words) …

Question number: 39

» Multivariate Analysis » Wishart's Distribution » Reproductive Properties

Appeared in Year: 2015

Essay Question▾

Describe in Detail

(i) Let A i be distributed as Wishart , i = 1, 2 and A 1, A 2 be independent. Show that A 1 +A 2 is distributed as .

(ii) If A is distributed as , then CAC’ is distributed as where C is a nonsingular matrix of order m.

Explanation

… (104 more words) …

f Page
Sign In