4 papers
Characterizations of the Extended Geometric, Harris, Negative Binomial and Gamma Distributions
E Sandhya, S Sherly, M K Jos +1
Extended geometric distribution is defined and its mixture is characterized by the property of having completely monotone probability sequence. Also, convolution equations and prob…
Harris Processes
S Sherly, M K Jose, E Sandhya +1
In this paper, we develop two stochastic models where the variable under consideration follows Harris distribution. The mean and variance of the processes are derived and the proce…
A Generalization of Stationary AR(1) Schemes
S Satheesh, E Sandhya, S Sherly
Here we develop a first order autoregressive model {Xn} that is marginally stationary where Xn is the sum/ extreme of k i.i.d observations. We prove that stationary solutions to th…
Harris Family of Discrete Distributions
E. Sandhya, S. Sherly, N. Raju
In this paper we discuss the basic properties of a discrete distribution introduced by Harris in 1948 and obtain a characterization of it. The divisibility properties of the distri…