AbstractThe non-commutative convolution f∗g of two distributions f and g in D′ is defined to be the limit of the sequence {(fτn)∗g}, provided the limit exists, where {τn} is a certain sequence of functions in D converging to 1. It is proved that |x|λ∗(sgnx|x|μ)=2sin(λπ/2)cos(μπ/2)sin[(λ+μ)π/2]B(λ+1,μ+1)sgnx|x|λ+μ+1, for −1<λ+μ<0 and λ,μ≠−1,−2,…, where B denotes the Beta function
Let G(x) be a compound geometric distribution function of a random variable S, defined by G(x) = Pr...
Certain incompatibilities are proved related to the prolongation of an associative deriva-tion convo...
Abstract: Let F be a distribution and let f be a locally summable function. The distribution F (f) i...
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defi...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
Graphs, Integrals, probability, density function (Gaussian, uniform, tent and parabolic)The convolut...
Graphs, Integrals, probability, density function (Gaussian, uniform, tent and parabolic)The convolut...
We define regular distributions tan-1 + x and tan-1 - x from the function tan-1 x: We then evaluate ...
Abstract. A family of transformations on the set of all probability measures on the real line is int...
Random convolution of different O-exponential distributions. Assume that ξ1, ξ2, ... are i...
AbstractIn proving limit theorems for some stochastic processes, the following classes of distributi...
A family of transformations on the set of all probability measures on the real line is introduced, w...
Repeated convolution of a probability measure on Z leads to the central limit the-orem and other lim...
The object of the present paper is to discuss the convergence of a sequence of probability distribut...
Abstract. When (φn) is a sequence of positive functions in L1(R) such that the convolutions φn? f co...
Let G(x) be a compound geometric distribution function of a random variable S, defined by G(x) = Pr...
Certain incompatibilities are proved related to the prolongation of an associative deriva-tion convo...
Abstract: Let F be a distribution and let f be a locally summable function. The distribution F (f) i...
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defi...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
Graphs, Integrals, probability, density function (Gaussian, uniform, tent and parabolic)The convolut...
Graphs, Integrals, probability, density function (Gaussian, uniform, tent and parabolic)The convolut...
We define regular distributions tan-1 + x and tan-1 - x from the function tan-1 x: We then evaluate ...
Abstract. A family of transformations on the set of all probability measures on the real line is int...
Random convolution of different O-exponential distributions. Assume that ξ1, ξ2, ... are i...
AbstractIn proving limit theorems for some stochastic processes, the following classes of distributi...
A family of transformations on the set of all probability measures on the real line is introduced, w...
Repeated convolution of a probability measure on Z leads to the central limit the-orem and other lim...
The object of the present paper is to discuss the convergence of a sequence of probability distribut...
Abstract. When (φn) is a sequence of positive functions in L1(R) such that the convolutions φn? f co...
Let G(x) be a compound geometric distribution function of a random variable S, defined by G(x) = Pr...
Certain incompatibilities are proved related to the prolongation of an associative deriva-tion convo...
Abstract: Let F be a distribution and let f be a locally summable function. The distribution F (f) i...
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