Indian Mathematical Statistics for Transportation

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What is the name of the Indian mathematician who is considered the father of Indian Mathematical 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 considered the father of Indian Mathematical Statistics. He was a pioneer in the field of multivariate analysis and developed the Mahalanobis distance, which is a measure of the distance between two points in a multivariate space.

What is the name of the statistical method that is used to estimate the mean of a population from a sample?

  1. Sampling

  2. Hypothesis testing

  3. Regression analysis

  4. Analysis of variance


Correct Option: A
Explanation:

Sampling is a statistical method that is used to estimate the mean of a population from a sample. A sample is a subset of the population that is selected to represent the entire population.

What is the name of the statistical method that is used to test the hypothesis that two populations have the same mean?

  1. Sampling

  2. Hypothesis testing

  3. Regression analysis

  4. Analysis of variance


Correct Option: B
Explanation:

Hypothesis testing is a statistical method that is used to test the hypothesis that two populations have the same mean. Hypothesis testing is used to determine whether there is a significant difference between the means of two populations.

What is the name of the statistical method that is used to model the relationship between two variables?

  1. Sampling

  2. Hypothesis testing

  3. Regression analysis

  4. Analysis of variance


Correct Option: C
Explanation:

Regression analysis is a statistical method that is used to model the relationship between two variables. Regression analysis is used to determine the equation of the line that best fits the data.

What is the name of the statistical method that is used to compare the means of three or more populations?

  1. Sampling

  2. Hypothesis testing

  3. Regression analysis

  4. Analysis of variance


Correct Option: D
Explanation:

Analysis of variance is a statistical method that is used to compare the means of three or more populations. Analysis of variance is used to determine whether there is a significant difference between the means of three or more populations.

What is the name of the Indian mathematician who is known for his work on design of experiments?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: B
Explanation:

C. R. Rao is known for his work on design of experiments. He developed the Rao-Blackwell theorem, which is a fundamental result in the theory of estimation.

What is the name of the Indian mathematician who is known for his work on 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 known for his work on multivariate analysis. He developed the Mahalanobis distance, which is a measure of the distance between two points in a multivariate space.

What is the name of the Indian mathematician who is known for his work on nonparametric statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: C
Explanation:

S. S. Wilks is known for his work on nonparametric statistics. He developed the Wilks theorem, which is a fundamental result in the theory of nonparametric statistics.

What is the name of the Indian mathematician who is known for his work on time series analysis?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: D
Explanation:

R. A. Fisher is known for his work on time series analysis. He developed the Fisher decomposition, which is a fundamental result in the theory of time series analysis.

What is the name of the Indian mathematician who is known for his work on Bayesian statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: B
Explanation:

C. R. Rao is known for his work on Bayesian statistics. He developed the Rao-Blackwell theorem, which is a fundamental result in the theory of Bayesian statistics.

What is the name of the Indian mathematician who is known for his work on decision theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: A
Explanation:

P. C. Mahalanobis is known for his work on decision theory. He developed the Mahalanobis distance, which is a measure of the distance between two points in a multivariate space.

What is the name of the Indian mathematician who is known for his work on game theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: D
Explanation:

R. A. Fisher is known for his work on game theory. He developed the Fisher decomposition, which is a fundamental result in the theory of game theory.

What is the name of the Indian mathematician who is known for his work on information theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: B
Explanation:

C. R. Rao is known for his work on information theory. He developed the Rao-Blackwell theorem, which is a fundamental result in the theory of information theory.

What is the name of the Indian mathematician who is known for his work on coding theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: C
Explanation:

S. S. Wilks is known for his work on coding theory. He developed the Wilks theorem, which is a fundamental result in the theory of coding theory.

What is the name of the Indian mathematician who is known for his work on cryptography?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. S. Wilks

  4. R. A. Fisher


Correct Option: D
Explanation:

R. A. Fisher is known for his work on cryptography. He developed the Fisher decomposition, which is a fundamental result in the theory of cryptography.

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