—A frequent problem in digital communications is the computation of the probability density function (pdf) and cumulative distribution function (cdf), given the characteristic function (chf) of a random variable (RV). This problem arises in signal detection , equalizer performance, equal-gain diversity combining, in-tersymbol interference, and elsewhere. Often, it is impossible to analytically ...

A smooth kernel estimator is proposed for multivariate cumulative distribution functions (cdf), extending the work of Yamato [H. Yamato, Uniform convergence of an estimator of a distribution function, Bull. Math. Statist. 15 (1973), pp. 69–78.] on univariate distribution function estimation. Under assumptions of strict stationarity and geometrically strong mixing, we establish that the proposed...

Leiva et al. [10] introduce the skewed sinh-normal distribution, which is a skewed version of the sinh-normal distribution, discussed some of its properties and characterized an extension of the Birnbaum–Saunders distribution associated with this distribution. In this paper, we will introduce further properties of the skewed sinh-normal distribution, and introduce a new approximate form of its ...

We provide additional descriptions of the steady-state waiting-time distribution in the M/G/1 queue with the last-in firstout (LIFO) service discipline. We establish heavy-traffic limits for both the cumulative distribution function (cdf) and the moments. We develop an approximation for the cdf that is asymptotically correct both as the traffic intensity p ~ 1 for each time t and as t ~ oo for ...

This paper analyzes a bilateral trade model where the buyer can choose any cumulative distribution function (CDF) supported on [0, 1], which then determines her valuation. The seller, after observing the buyer’s choice of the CDF but not its realization, gives a takeit-or-leave-it offer to the buyer. We characterize the unique equilibrium outcome of this game and show that in this outcome, the ...

In this paper we show how the distribution of the discrete Choquet integral can be analytically computed. The advantage of having an analytical expression is that the value of the cumulative distribution function (cdf) can be computed exactly for the Choquet. We also derive an expression for the density of the Ordered Weighted Average (OWA) operator, which is a special case of the Choquet.

In this paper, a performance analysis of amplifyand-forward (AF) relaying cooperative diversity system with relay selection is given when all terminals are moving. We have derived analytical expressions for probability density function (PDF), cumulative distribution function (CDF) and moment generating function (MGF) of end-to-end signal-to-noise ratio (SNR) for the considered system. Then, the...

We provide additional descriptions of the steady-state waiting-time distribution in the M/G/1 queue with the last-in first-out (LIFO) service discipline. We establish heavy-traffic limits for both the cumulative distribution function (cdf) and the moments. We develop an approximation for the cdf that is asymptotically correct both as the traffic intensity ρ → 1 for each time t and as t → ∞ for ...

A dual-hop decode-and-forward (DF) interleave-division multiple access (IDMA) system using best relay selection method in independent Weibull fading channels is addressed. An expression for cumulative distribution function (CDF) is derived by using approximate probability density function (PDF) of end-to-end signal to noise ratio (SNR). Then, the proposed CDF expression is employed to evaluate ...

We consider a sequence, of random length M , of independent, continuous observations Xi, 1 ≤ i ≤ M,whereM is geometric,X1 has cumulative distribution function (CDF)G, andXi, i ≥ 2, have CDF F . LetN be the number of upper records and letRn, n ≥ 1, be thenth record value. We show thatN is independent ofF if and only ifG(x) = G0(F (x)) for some CDF G0, and that if E(|X2|) is finite then so is E(|...