This article presented a novel discrete distribution with one parameter derived by the discretization approach and called half-logistic distribution. Its probability mass function hazard have different shapes. A variety of its statistical properties, including moments, generating function, incomplete order statistics, were determined mathematically. Maximum likelihood, proportion estimation met...

Various structural discontinuities, which form a discrete fracture network, play a significant role in the failure conditions and stability of the rock masses around underground excavations. Several continuum numerical methods have been used to study the stability of underground excavations in jointed rock masses but only few of them can take into account the influence of the pre-existing natur...

We discuss important attributes of a discrete Wigner distribution derived using a group-theoretic approach. The nature of this approach enables this distribution to satisfy numerous mathematical properties, including marginals and the Weyl correspondence. A few issues concerning the relationship of this distribution with group theory are explored in detail. In particular , the discrete distribu...

    Discrete facility location,   Distribution center,   Logistics,   Inventory policy,   Queueing theory,   Markov processes, The distribution center location problem is a crucial question for logistics decision makers. The optimization of these decisions needs careful attention to the fixed facility costs, inventory costs, transportation costs and customer responsiveness. In this paper we stu...

Consider any discrete memoryless channel (DMC) with arbitrarily but finite input and output alphabets X , Y respectively. Then, for any capacity achieving input distribution all symbols occur less frequently than 1 − 1 e . That is, max x∈X P (x) < 1− 1 e where P ∗(x) is a capacity achieving input distribution. Also, we provide sufficient conditions for which a discrete distribution can be a cap...

This paper investigates the multiplicative spread spectrum watermarking method for the image. The information bit is spreaded into middle-frequency Discrete Cosine Transform (DCT) coefficients of each block of an image using a generated pseudo-random sequence. Unlike the conventional signal modeling, we suppose that both signal and noise are distributed with Laplacian distribution, because the ...