4 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…
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…