A natural problem in the context of coupon collector’s is behavior maximum independent geometrically distributed random variables (with distinct parameters). This question has been addressed by Brennan et al. [British J. Math

consider the random walk among n places with n(n - 1)/2 transports. we attach an exponential random variable xij to each transport between places pi and pj and take these random variables mutually independent. if transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...

‎ in this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional laplace transform. moreover, we check the stability of conformable fractional lotka-volterra system with the multi-st...

due to the limitations of the “life table method” the exponential model was used to estimate the iud termination and retention rate among 1,390 women. since the conditional probability of iud termination during the first month of insertion is considerably higher than the subsequent months, data relating to the first 30 days was considered separately. furthermore a constant termination rate was ...

We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.

Abstract. In this paper, we propose to study a generalized form of the exponential power distribution which contains others in the literature as special cases. This unifying exponential power distribution is characterized by a parameter ω and a function h(ω) which regulates the tail behavior of the distribution, thus making it more flexible and suitable for modeling than the usual normal di...

In the paper, the author verifies the absolute monotonicity of a function involving the exponential function.

soil water retention curve is one of the crucial input parameters in any modeling study on water flow and solute transport in soils. direct measurement of soil water retention curve is time-consuming and costly. alternatively, pedotransfer functions (ptfs) may be used to indirectly estimate the soil water retention curve from easily measured soil properties. many equations for the soil water re...

The papers [23], [24], [4], [5], [2], [20], [21], [9], [1], [22], [13], [15], [16], [12], [10], [11], [17], [14], [25], [3], [7], [6], [19], and [8] provide the notation and terminology for this paper. For simplicity, we adopt the following convention: X denotes a complex Banach algebra, w, z, z1, z2 denote elements of X, k, l, m, n denote natural numbers, s1, s2, s3, s, s ′ denote sequences of...