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Activity Number: 506 - New Ideas in Inference
Type: Contributed
Date/Time: Thursday, August 6, 2020 : 10:00 AM to 2:00 PM
Sponsor: Section on Statistics and Data Science Education
Abstract #313850
Title: Arithmetically and/or Geometrically Progressed Discrete Probability Distributions, Stochastic Processes and the Generalized Linear Models
Author(s): Silvey Shamsi* and Mian Adnan and Asif Shams Adnan
Companies: Ball State University and Bowling Green State University and Dhaka, Bangladesh
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)
Abstract:

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 and test statistics have also been developed.


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