Plithogenic Probability & Statistics are generalizations of MultiVariate Probability & Statistics

Abstract

In this paper we exemplify the types of Plithogenic Probability and respectively Plithogenic Statistics. Several applications are given. The Plithogenic Probability of an event to occur is composed from the chances that the event occurs with respect to all random variables (parameters) that determine it. Each such a variable is described by a Probability Distribution (Density) Function, which may be a classical, (T,I,F)-neutrosophic, I-neutrosophic, (T,F)-intuitionistic fuzzy, (T,N,F)-picture fuzzy, (T,N,F)-spherical fuzzy, or (other fuzzy extension) distribution function. The Plithogenic Probability is a generalization of the classical MultiVariate Probability. The analysis of the events described by the plithogenic probability is the Plithogenic Statistics.

Keywords

• multivariate probability
• multivariate statistics
• plithogenic probability
• plithogenic refined probability
• plithogenic statistics
• plithogenic refined statistics
• neutrosophic data
• neutrosophic sample
• neutrosophic population
• neutrosophic random variables