10 papers
Convergence of random sums in non-commutative probability
Arup Bose, Pradeep Vishwakarma
Random sums of independent random variables have been extensively studied in classical probability theory. We consider random sums of self-adjoint variables from a non-commutative…
Patterned matrices with random walk entries
Arup Bose, Pradeep Vishwakarma
It is well known that the weak limit of a suitably scaled continuous-time random walk (CTRW) is the Brownian motion. We investigate the convergence of certain patterned random matr…
Revisiting Toeplitz and Hankel random matrices via -convergence of circulant-type matrices
Arup Bose, Pradeep Vishwakarma
We establish the joint -convergence of a random circulant matrix and a specific deterministic diagonal matrix. We also show that the empirical spectral distributions of skew-cir…
Skellam Random Fields and Their Fractional Variants
Pradeep Vishwakarma
We study some Skellam-type spatial point processes. As a particular case, we consider a Skellam random field (SRF) on the positive quadrant of the plane, which is a two parameter L…
Some Spatial Point Processes of Poisson Family
Pradeep Vishwakarma
Spatial Poisson point processes on finite-dimensional Euclidean space provide fundamental mathematical tools for modeling random spatial point patterns. In this paper, we introduce…
Skellam Processes via Multiparameter Poisson Process
Pradeep Vishwakarma
We introduce a mltiparameter version of Skellam point process via multiparameter Poisson processes. Its distributional properties are studied in detail. Its compound representation…