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Silvey Shamsi

Ball State University



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506 – New Ideas in Inference

Arithmetically and/or Geometrically Progressed Discrete Probability Distributions, Stochastic Processes, and the Generalized Linear Models

Sponsor: Section on Statistics and Data Science Education
Keywords: arithmetically and/or geometrically distributed binomial, arithmetically and/or geometrically progressed Poisson processes, arithmetically and/or geometrically progressed generalized linear models, slope of success(es), amplification of success(es)

Silvey Shamsi

Ball State University

Various arithmetically and/or geometrically distributed discrete probability distributions viz arithmetically and/or geometrically progressed Binomial, Multinomial, Poisson, Geometric, Negative Binomial Distributions have been developed. Several features like moments, estimators of the parameters have been unfolded. Some arithmetically and/or geometrically distributed Stochastic Processes like arithmetically and/or geometrically progressed Poisson Processes, etc. have been developed along with their features. The arithmetically and/or geometrically progressed generalized linear models like arithmetically and/or geometrically progressed Binomial, Multinomial, Poisson, Geometric, Negative Binomial Regressions have been developed. Their related properties have also been developed.

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