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Contributions of Indian Mathematicians to Data Science

Description: This quiz is designed to assess your knowledge about the contributions of Indian mathematicians to the field of data science. Answer the following questions to test your understanding.
Number of Questions: 15
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Tags: indian mathematics data science indian mathematicians
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Who is considered the father of Indian statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  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, including the development of the Mahalanobis distance and the Mahalanobis taguchi system.

Which Indian mathematician is known for his work on information theory and coding theory?

  1. Srinivasa Ramanujan

  2. C. R. Rao

  3. Shanti Swarup Bhatnagar

  4. R. C. Bose


Correct Option: D
Explanation:

R. C. Bose is renowned for his contributions to information theory and coding theory, particularly for introducing Bose-Chaudhuri-Hocquenghem (BCH) codes, which are widely used in various communication systems.

Who developed the Rao-Blackwell theorem, which provides a method for finding the best unbiased estimator of a parameter?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: B
Explanation:

C. R. Rao is credited with developing the Rao-Blackwell theorem, which is a fundamental result in statistical theory and provides a systematic approach for obtaining the best unbiased estimator of a parameter.

Which Indian mathematician is known for his work on design of experiments and response surface methodology?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: C
Explanation:

S. S. Wilks is recognized for his contributions to the design of experiments and response surface methodology, which are widely used in various fields for optimizing processes and improving product quality.

Who is known for his work on discriminant analysis and multivariate analysis?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: A
Explanation:

P. C. Mahalanobis is renowned for his work on discriminant analysis and multivariate analysis, which are statistical techniques used for classification and dimensionality reduction.

Which Indian mathematician is known for his contributions to the theory of large deviations?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. Ranga Rao


Correct Option: D
Explanation:

R. Ranga Rao is recognized for his work on the theory of large deviations, which deals with the asymptotic behavior of rare events and has applications in various fields, including probability, statistics, and information theory.

Who developed the Neyman-Pearson lemma, which provides a method for constructing optimal hypothesis tests?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. J. Neyman


Correct Option: D
Explanation:

J. Neyman, an Indian-American statistician, is credited with developing the Neyman-Pearson lemma, which is a fundamental result in statistical inference and provides a systematic approach for constructing optimal hypothesis tests.

Which Indian mathematician is known for his work on nonparametric statistics and order statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. H. L. Harter


Correct Option: D
Explanation:

H. L. Harter is recognized for his contributions to nonparametric statistics and order statistics, which are statistical methods that do not require assumptions about the underlying distribution of data.

Who developed the concept of $D_s$ optimality criterion in experimental design?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. K. R. Shah


Correct Option: D
Explanation:

K. R. Shah is known for his work on the $D_s$ optimality criterion in experimental design, which is a widely used measure for assessing the efficiency of experimental designs.

Which Indian mathematician is known for his contributions to the theory of probability and stochastic processes?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. N. Bhattacharya


Correct Option: D
Explanation:

R. N. Bhattacharya is recognized for his work on the theory of probability and stochastic processes, including his contributions to the study of Markov chains and martingales.

Who developed the concept of $L_p$ spaces, which are fundamental in functional analysis and probability theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. S. Banach


Correct Option: D
Explanation:

S. Banach, a Polish mathematician, is credited with developing the concept of $L_p$ spaces, which are Banach spaces that play a crucial role in various branches of mathematics and its applications.

Which Indian mathematician is known for his work on the theory of queues and applied probability?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. J. G. Kemeny


Correct Option: D
Explanation:

J. G. Kemeny is recognized for his contributions to the theory of queues and applied probability, including his work on Markov chains and birth-death processes.

Who developed the concept of information geometry, which provides a geometric framework for studying probability distributions?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. S. Amari


Correct Option: D
Explanation:

S. Amari, a Japanese mathematician, is credited with developing the concept of information geometry, which has applications in various fields, including statistics, machine learning, and signal processing.

Which Indian mathematician is known for his work on statistical inference and decision theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. A. Wald


Correct Option: D
Explanation:

A. Wald, an Austro-Hungarian-American mathematician, is recognized for his contributions to statistical inference and decision theory, including his work on sequential analysis and hypothesis testing.

Who developed the concept of empirical likelihood, which is a nonparametric method for statistical inference?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. A. W. van der Vaart


Correct Option: D
Explanation:

A. W. van der Vaart, a Dutch mathematician, is credited with developing the concept of empirical likelihood, which is a powerful tool for nonparametric statistical inference.

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