Indian Contributions to Statistics

Description: This quiz covers the significant contributions made by Indian mathematicians and statisticians to the field of statistics.
Number of Questions: 15
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Tags: indian statistics indian mathematicians statistics
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Who is considered the father of Indian statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. R. A. Fisher


Correct Option: A
Explanation:

P. C. Mahalanobis is widely regarded as the father of Indian statistics for his pioneering work in the field.

What is the name of the statistical method developed by P. C. Mahalanobis for measuring the distance between two populations?

  1. Mahalanobis distance

  2. Euclidean distance

  3. Manhattan distance

  4. Chebyshev distance


Correct Option: A
Explanation:

The Mahalanobis distance is a statistical measure of the distance between two populations, taking into account the correlations between variables.

C. R. Rao is known for his contributions to which area of statistics?

  1. Design of experiments

  2. Multivariate analysis

  3. Linear models

  4. Time series analysis


Correct Option: B
Explanation:

C. R. Rao is renowned for his work in multivariate analysis, particularly in the areas of discriminant analysis and principal component analysis.

Which Indian mathematician developed the concept of orthogonal arrays?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. R. C. Bose


Correct Option: D
Explanation:

R. C. Bose is credited with developing the concept of orthogonal arrays, which are used in experimental design and coding theory.

What is the name of the statistical method developed by S. N. Roy for testing the equality of variances?

  1. Roy's test

  2. Bartlett's test

  3. Levene's test

  4. F-test


Correct Option: A
Explanation:

Roy's test is a statistical test used to determine whether two or more populations have equal variances.

Which Indian statistician is known for his work on sequential analysis?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. D. D. Joshi


Correct Option: D
Explanation:

D. D. Joshi is recognized for his contributions to sequential analysis, a statistical method for making decisions based on a sequence of observations.

What is the name of the statistical method developed by J. K. Ghosh for estimating the mean of a population?

  1. Ghosh's estimator

  2. Rao-Blackwell estimator

  3. Minimum variance unbiased estimator

  4. Maximum likelihood estimator


Correct Option: A
Explanation:

Ghosh's estimator is a statistical method for estimating the mean of a population that is more efficient than the sample mean in certain situations.

Which Indian statistician is known for his work on nonparametric statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. Pranab Kumar Sen


Correct Option: D
Explanation:

Pranab Kumar Sen is renowned for his contributions to nonparametric statistics, particularly in the areas of rank tests and goodness-of-fit tests.

What is the name of the statistical method developed by A. K. Gupta for studying the distribution of order statistics?

  1. Gupta's distribution

  2. Gumbel distribution

  3. Frechet distribution

  4. Weibull distribution


Correct Option: A
Explanation:

Gupta's distribution is a statistical distribution used to model the distribution of order statistics, which are the values obtained by arranging a set of random variables in ascending or descending order.

Which Indian statistician is known for his work on Bayesian statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. Jayanta K. Ghosh


Correct Option: D
Explanation:

Jayanta K. Ghosh is recognized for his contributions to Bayesian statistics, particularly in the areas of Bayesian inference and decision theory.

What is the name of the statistical method developed by S. R. S. Varadhan for studying large deviations?

  1. Varadhan's lemma

  2. Freidlin-Wentzell theorem

  3. Donsker's theorem

  4. Ito's lemma


Correct Option: A
Explanation:

Varadhan's lemma is a result in probability theory that provides a lower bound for the probability of large deviations of a random variable from its mean.

Which Indian statistician is known for his work on stochastic processes?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. R. N. Bhattacharya


Correct Option: D
Explanation:

R. N. Bhattacharya is renowned for his contributions to stochastic processes, particularly in the areas of Markov processes and diffusion processes.

What is the name of the statistical method developed by V. K. Rohatgi for studying extreme values?

  1. Rohatgi's distribution

  2. Gumbel distribution

  3. Frechet distribution

  4. Weibull distribution


Correct Option: A
Explanation:

Rohatgi's distribution is a statistical distribution used to model the distribution of extreme values, such as the maximum or minimum value in a set of random variables.

Which Indian statistician is known for his work on statistical quality control?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. G. K. Kanji


Correct Option: D
Explanation:

G. K. Kanji is recognized for his contributions to statistical quality control, particularly in the areas of process capability analysis and acceptance sampling.

What is the name of the statistical method developed by S. D. Gore for studying the distribution of spacings?

  1. Gore's distribution

  2. Uniform distribution

  3. Exponential distribution

  4. Normal distribution


Correct Option: A
Explanation:

Gore's distribution is a statistical distribution used to model the distribution of spacings, which are the differences between consecutive order statistics.

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