Master of Science I (Statistics) Examination: Oct/Nov 2016
Semester I (New CBCS)
SLR No. Day
Date Time Subject Name Paper
No. Seat No.
SLR SB
678
Friday
25/11/2016
10.30 AM
to
01.00 PM
Statistical Computing
C
SCT 1.1
Instructions: Answer any five questions.
Q. No. and Q. No. are compulsory.
Attempt any three from Q. No. to Q. No.
Figures to the right indicate full marks.
Total Marks:70
Q.1 A. Select the correct alternative: 05
To obtain the remainder after the number is divided by its divisor, we use
command in MS-Excel.
Divisor( Remaind
Mod None of the above
Newton- Raphson method is used to
Find roots of the equation
Maximize a function
Minimize a function
Optimize a finction
The operator is used as assignment operator in R.

None of these
In is used to find number of values in the vector.
Size Length
Numb All of the above
To obtain one sample from bivariate exponential distribution, we need to
draw exponential random numbers.
Two Three
One Twelve
B. Fill in the blanks: 05
The command used for random sampling from binomial distribution in R
is
To obtain the value of pmf of Poisson at point we use
command in R.
In the command arranges the data in order by default.
Binomial variate can be generated by adding variates.
To obtain the largest integer not greater than the argument, the
command is used in MS-Excel
Page 1 of 2
C. State whether following statements are true or false: 04
R can be used to find inverse of square matrices only.
To obtain matrix multiplication of A and we use A*B in R.
To obtain frequency distribution in table command is used.
In the matrix data can be entered row-wise only.
Q.2 A. Explain the algorithms to generate random numbers from Binomial
variate.
06
Write the algorithm for estimating using Monte Carlo method.
B. Write short note on the following 08
Monte-Carlo method to estimate
Box Mullar transformation
Q.3 A. Describe how to obtain normal random variates from iid variates using
CLT. Also write algorithm for the same.
07
B. What is meant by Pseudo-random numbers? Explain the congruential method
of random number generation?
07
Q.4 A. Explain any two methods to check uniformity of random numbers. 07
B. Discuss Jack-knife technique. Obtain Jack-knife estimator of σ2, if
(X1,X2……Xn) are iid σ2)
07
Q.5 A. Discuss matrix operations in R. 07
B. Describe trapezoidal rule to obtain a numerical integration. 07
Q.6 A. How do you carry out various t-tests in R. 07
B. Write minitab macros to
Generate 100 observations from Normal distribution with mean=3,
variance=4
ii) Generate 100 observation from Poisson
07
Q.7 A. Describe the procedure of Chi-square test of independence in MS-Excel. 07
B. Describe regula- falsi method to obtain root of the equation 07