In this paper I introduced a new Probability mass function (Pmf) that is named as Pavan’s Pmf then used first and second raw moments of that distribution and De Moivre-Laplace theorem for large n later equated probability functions of binomial and normal distribution at model value to derive the formula for Pi
This book contains a systematic treatment of probability from the ground up, starting with intuitive...
The final publication is available at Elsevier via http://dx.doi.org/https://doi.org/10.1016/j.spl.2...
pk(1 − p)n−k denote the binomial mass function (pmf), and let po(k;λ) = λke−λ/k! denote the Poisson...
The first person to attempt an answer to the question of how to determine probability from observed ...
De Moivre’s book “The Doctrine of Chances” (2) is thorough account of what was known about probabili...
This thesis will focus on generating the probability mass function using Fibonacci sequenceas the co...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
AbstractLet ps(n) = n−sζ(s) for n = 1,2,3,… and s > 1 be used to define a probability distribution P...
The aim of this tutorial is to show that, when properly formulated, probability theory is simply the...
The probability mass function of a pair of discrete random variables (X,Y) is the function f(x,y)=P(...
These Lecture Slide Notes have been used for a two-quarter graduate level sequence in probability co...
Probability is an area of mathematics of tremendous contemporary importance across all aspects of hu...
Within the theory of non-negative integer valued multivariate infinitely divisible distributions, th...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
This paper begins with the statistics of the decimal digits of n/d with n, d randomly chosen. Starti...
This book contains a systematic treatment of probability from the ground up, starting with intuitive...
The final publication is available at Elsevier via http://dx.doi.org/https://doi.org/10.1016/j.spl.2...
pk(1 − p)n−k denote the binomial mass function (pmf), and let po(k;λ) = λke−λ/k! denote the Poisson...
The first person to attempt an answer to the question of how to determine probability from observed ...
De Moivre’s book “The Doctrine of Chances” (2) is thorough account of what was known about probabili...
This thesis will focus on generating the probability mass function using Fibonacci sequenceas the co...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
AbstractLet ps(n) = n−sζ(s) for n = 1,2,3,… and s > 1 be used to define a probability distribution P...
The aim of this tutorial is to show that, when properly formulated, probability theory is simply the...
The probability mass function of a pair of discrete random variables (X,Y) is the function f(x,y)=P(...
These Lecture Slide Notes have been used for a two-quarter graduate level sequence in probability co...
Probability is an area of mathematics of tremendous contemporary importance across all aspects of hu...
Within the theory of non-negative integer valued multivariate infinitely divisible distributions, th...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
This paper begins with the statistics of the decimal digits of n/d with n, d randomly chosen. Starti...
This book contains a systematic treatment of probability from the ground up, starting with intuitive...
The final publication is available at Elsevier via http://dx.doi.org/https://doi.org/10.1016/j.spl.2...
pk(1 − p)n−k denote the binomial mass function (pmf), and let po(k;λ) = λke−λ/k! denote the Poisson...