ಸಿರಿ” ಇ ((1_1 ॥_2))/(1_1--1_2)) 7-27

8:-0^2 =((॥ 1॥ 2))/((॥ 144 2)) 72

2072 ಇ ((॥_1-1_2)/(1_18)) 7727

0:-0^2 = (1 -- ॥|_2))/(11_1॥_2) 7-27

Correct Answer:- Option-D
Question89:-In principal component analysis the variances of the Principal Components are the of the covariance
matrix.

iagonal elements

B:-eigen values

C:-nomalized elements

D:-non-zero elements

Correct Answer:- Option-B
Question90:-For discriminating between two populations R.A.
which

‎("(mean difference)"~2)/("variance")*‏ ععظ
‎B:-*("mean difference"}*2/("A.M.")"‏
‎C:-*("mean difference")/{"median"}‏
‎D:- ("variance"}/("mean difference")’‏
‎Correct Answer:- Option-A‏
‎Question91:-Assume that the time to failure * (T} for a certain bulb has an exponential distribution *f {{t}/{(lambda})* with‏
‎parameter ‘lambda >0" with the prior pdf ' (lambda)* of "lambda’ is an exponential distribution with parameter 2. Then‏
‎the posterior pdf of “lambda’ given ‘T =t is‏

‎கோ?

‎B:-*(lambda)/(e~lambda (t+2))"

‎C:-*(lambda e~ (lambda (t+2)))/((t+2)~2)

‎:-` (1871008 ((--2)72)/(67(1871068 (--2)))7

‎Correct Answer:- Option-D
Question92:-The basic elements of statistical decision theory is

‎A:-aspace Q *= {ul theta}" of all possible states of nature

‎B:-an action space *A = {a}" of all possible courses of action

‎C:-a loss function "L (ul theta, a)* giving the incurred loss when action “a" is taken and the state is * ul theta™

‎D:-all these

‎Correct Answer:- Option-D
Question93:-When there is no censoring for the life length *T", the general formula of a survival function is

‎A:-"hat {S (t)} = (" # of individuals with" T >= t)/("total sample size"}

‎B:-hat {S (t}} = (" # of iduals with" T <= t)/("total sample size")*

‎C:-hat {S ()} = (" # of individuals with" t)/("total sample size")"

‎D:-"hat {S (t}} = (" # of individuals with" T = 0)/("total 527716 51761)

‎Correct Answer:- Option-A
Question94:-The Cox's Proportional Hazard Model (മട PH Model) with explanatory variables * ul X = (X_1, X_2, ... X p},
beta_i* their regression coefficients and “h_0 (t}* a base line hazard, is *h {t, ul X} ="
A:-"e™{h_0 (t} sum_(i=1)"p beta
8:- 109 ॥) 0 (१ + 507) (
C:-*h_0 {t) e sum_|
D:-"e~(h_0 {t)) sum
Correct Answer:- Option-C
Question95:-When an inspection lot contains no defectives the OC function 1 (೧) is

‎

‎isher suggested the linear discriminant function *X'I" for

‎

‎

‎
‎

‎

‎

‎

‎
‎

‎

‎A-L{p)=1"
‎8:-1 {p} = 00"
©: 1 {0} = 0

‎D:-None of these

‎Correct Answer:- Option-A
Question96:-In a Time series data, the two main components which cause lack of stationarity are

‎A:-Seasonal and immegular variations

‎B:-Cyclic and iregular variations

‎C:-Trend and cyclic variations

‎D:-Trend and seasonal variations

‎Correct Answer:- Option-D
In the ARMA (1, 1) model *Z_t = **phi Z_{t-1} + epsilon _t - theta epsilon_{t-1}* the condition for stationarity
ity are respectively

‎
‎