13 citations · 71 across the 27 of their papers we have counts for
8 papers · 1 filter
Some Classes Of Distributions On The Non-Negative Lattice
S. Satheesh, N. Unnikrishnan Nair
A method for constructing distributions on the non negative integers as discrete analogue of continuous distributions on the non negative real is presented. A justification of the…
Stability of Random Sums
S. Satheesh, N. Unnikrishnan Nair, E. Sandhya
When the distribution of a random (N) sum of independent copies of a r.v X is of the same type as that of X we say that X is N-sum stable. In this paper we consider a generalizatio…
A Note on Maximum and Minimum Stability of Certain Distributions
S. Satheesh, N. U. Nair
In the context of stability of the extremes of a random variable X with respect to a positive integer valued random variable N we discuss the cases (i) X is exponential (ii) non-ge…
A Supplement To The Bose-Dasgupta-Rubin (2002) Review Of Infinitely Divisible Laws And Processes
S. Satheesh
This paper proves that if a discrete distribution is infinitely divisible (ID) with integer-valued components, then it has a mass at the origin, which also implies why certain ID d…
On the Stability of Geometric Extremes
S. Satheesh, N. Unnikrishnan Nair
Possible reasons for the uniqueness of the positive geometric law in the context of stability of random extremes are explored here culminating in a conjecture characterizing the ge…
Infinite Divisibility and Max-Infinite Divisibility with Random Sample Size
S. Satheesh, E. Sandhya
Continuing the study reported in Satheesh (2001),(math.PR/0304499 dated 01 May 2003) and Satheesh (2002)(math.PR/0305030 dated 02May 2003), here we study generalizations of infinit…