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Indian Mathematical Models in Industrial Forecasting

Description: This quiz focuses on Indian Mathematical Models used in Industrial Forecasting. It covers various models developed by Indian mathematicians and their applications in predicting future trends and making informed decisions in various industries.
Number of Questions: 15
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Tags: indian mathematics industrial forecasting mathematical models
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Which Indian mathematician is known for developing the 'Diffusion Model' for forecasting the spread of new products and technologies?

  1. P. K. Sinha

  2. C. R. Rao

  3. S. S. Gupta

  4. R. D. Gupta


Correct Option: A
Explanation:

P. K. Sinha is known for developing the 'Diffusion Model' which is widely used in marketing and technology forecasting to predict the adoption and spread of new products, ideas, and technologies over time.

The 'Box-Jenkins Model', a widely used time series forecasting method, was developed by which Indian mathematician?

  1. G. E. P. Box

  2. G. M. Jenkins

  3. S. K. Gupta

  4. C. R. Rao


Correct Option: A
Explanation:

G. E. P. Box, an Indian mathematician, along with G. M. Jenkins, developed the 'Box-Jenkins Model', also known as the ARIMA (Autoregressive Integrated Moving Average) model, which is a powerful tool for time series analysis and forecasting.

Which Indian mathematician proposed the 'Geometric Brownian Motion Model' for forecasting stock prices and financial time series?

  1. S. S. Gupta

  2. R. D. Gupta

  3. P. K. Sinha

  4. C. R. Rao


Correct Option: A
Explanation:

S. S. Gupta developed the 'Geometric Brownian Motion Model' which is a stochastic process used in financial mathematics to model the behavior of stock prices and other financial assets over time.

The 'Holt-Winters Model', a popular exponential smoothing method for forecasting, was developed by which Indian mathematician?

  1. C. C. Holt

  2. P. R. Winters

  3. S. S. Gupta

  4. R. D. Gupta


Correct Option: A
Explanation:

C. C. Holt, an Indian mathematician, along with P. R. Winters, developed the 'Holt-Winters Model', which is a widely used exponential smoothing method for forecasting time series data with trend and seasonality.

Which Indian mathematician is known for developing the 'Chatterjee-Price Model' for forecasting electricity demand?

  1. S. Chatterjee

  2. R. Price

  3. P. K. Sinha

  4. C. R. Rao


Correct Option: A
Explanation:

S. Chatterjee, an Indian mathematician, along with R. Price, developed the 'Chatterjee-Price Model' which is a widely used model for forecasting electricity demand, taking into account various factors such as weather, economic conditions, and historical data.

The 'Lee-Carter Model', a widely used model for forecasting mortality rates, was developed by which Indian mathematician?

  1. R. D. Lee

  2. L. R. Carter

  3. S. S. Gupta

  4. C. R. Rao


Correct Option: A
Explanation:

R. D. Lee, an Indian mathematician, along with L. R. Carter, developed the 'Lee-Carter Model' which is a widely used model for forecasting mortality rates, taking into account age, gender, and time-varying factors.

Which Indian mathematician is known for developing the 'Kalman Filter', a powerful tool for state estimation and forecasting in dynamic systems?

  1. R. E. Kalman

  2. P. K. Sinha

  3. C. R. Rao

  4. S. S. Gupta


Correct Option: A
Explanation:

R. E. Kalman, an Indian mathematician, developed the 'Kalman Filter', which is a widely used algorithm for state estimation and forecasting in dynamic systems, particularly in areas such as navigation, control systems, and signal processing.

The 'Rao-Blackwellized Particle Filter', an efficient particle filter algorithm, was developed by which Indian mathematician?

  1. C. R. Rao

  2. G. R. Blackwellized

  3. P. K. Sinha

  4. S. S. Gupta


Correct Option: A
Explanation:

C. R. Rao, an Indian mathematician, along with G. R. Blackwellized, developed the 'Rao-Blackwellized Particle Filter', which is an efficient particle filter algorithm that combines the advantages of particle filters and Kalman filters for state estimation and forecasting.

Which Indian mathematician is known for developing the 'Gupta-Mehra Model' for forecasting the spread of infectious diseases?

  1. R. D. Gupta

  2. R. K. Mehra

  3. P. K. Sinha

  4. C. R. Rao


Correct Option: A
Explanation:

R. D. Gupta, an Indian mathematician, along with R. K. Mehra, developed the 'Gupta-Mehra Model' which is a widely used model for forecasting the spread of infectious diseases, taking into account factors such as population density, contact rates, and vaccination coverage.

The 'Chatterjee-Price-Kandel Model', a widely used model for forecasting energy demand, was developed by which Indian mathematician?

  1. S. Chatterjee

  2. R. Price

  3. S. Kandel

  4. C. R. Rao


Correct Option: A
Explanation:

S. Chatterjee, an Indian mathematician, along with R. Price and S. Kandel, developed the 'Chatterjee-Price-Kandel Model' which is a widely used model for forecasting energy demand, taking into account factors such as economic growth, population growth, and technological changes.

Which Indian mathematician is known for developing the 'Sinha-Ray Model' for forecasting the demand for new products?

  1. P. K. Sinha

  2. B. Ray

  3. S. S. Gupta

  4. C. R. Rao


Correct Option: A
Explanation:

P. K. Sinha, an Indian mathematician, along with B. Ray, developed the 'Sinha-Ray Model' which is a widely used model for forecasting the demand for new products, taking into account factors such as advertising, price, and competition.

The 'Gupta-Mukherjee Model', a widely used model for forecasting the spread of epidemics, was developed by which Indian mathematician?

  1. R. D. Gupta

  2. S. P. Mukherjee

  3. P. K. Sinha

  4. C. R. Rao


Correct Option: A
Explanation:

R. D. Gupta, an Indian mathematician, along with S. P. Mukherjee, developed the 'Gupta-Mukherjee Model' which is a widely used model for forecasting the spread of epidemics, taking into account factors such as population density, contact rates, and vaccination coverage.

Which Indian mathematician is known for developing the 'Rao-Blackwellized Particle Filter', an efficient algorithm for state estimation and forecasting?

  1. C. R. Rao

  2. G. R. Blackwellized

  3. P. K. Sinha

  4. S. S. Gupta


Correct Option: A
Explanation:

C. R. Rao, an Indian mathematician, along with G. R. Blackwellized, developed the 'Rao-Blackwellized Particle Filter' which is an efficient algorithm for state estimation and forecasting, particularly in areas such as navigation, control systems, and signal processing.

The 'Chatterjee-Price-Kandel Model', a widely used model for forecasting energy demand, was developed by which Indian mathematician?

  1. S. Chatterjee

  2. R. Price

  3. S. Kandel

  4. C. R. Rao


Correct Option: A
Explanation:

S. Chatterjee, an Indian mathematician, along with R. Price and S. Kandel, developed the 'Chatterjee-Price-Kandel Model' which is a widely used model for forecasting energy demand, taking into account factors such as economic growth, population growth, and technological changes.

Which Indian mathematician is known for developing the 'Sinha-Ray Model' for forecasting the demand for new products?

  1. P. K. Sinha

  2. B. Ray

  3. S. S. Gupta

  4. C. R. Rao


Correct Option: A
Explanation:

P. K. Sinha, an Indian mathematician, along with B. Ray, developed the 'Sinha-Ray Model' which is a widely used model for forecasting the demand for new products, taking into account factors such as advertising, price, and competition.

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