We propose an exact method for generating random deviates from continuous order statistics. This versatile method that generates Beta deviates as a middle step can be applied to any density function without resorting to numerical inversion. We also conduct an exhaustive investigation to document the merits of our method in generating deviates from any Beta distribution.

The problems of the first-passage time (FPT) [1, 2] and the residence time (RT) [3] are very important issues in random walk theory. Moreover, several properties of diffusion and transport in disordered systems are based in this concepts. Here, we do not want to present a survey of the enormous literature in the field of mean firstpassage time (MFPT) and mean residence time (MRT) of random walk...

We investigated the extent of oxidative stress evoked in the hypertensive rat by measuring plasma levels of 8-epi-prostaglandin F(2alpha) (8-epi-PGF(2alpha)), a marker of in vivo oxidative stress. Administration of angiotensin (Ang) II and norepinephrine at doses of 0.7 and 2.8 mg. kg(-1). d(-1), respectively, resulted in similar significant elevations in plasma levels of 8-epi-PGF(2alpha). A 7...

Maternal heat stress in cattle may disrupt pregnancy by elevating uterine prostaglandin F(2 alpha) (PGF(2 alpha)) secretion. The objectives of this study were to determine the effects of elevated temperature (42 degrees C) in vitro upon 1) prostaglandin secretion by endometrial tissue; 2) the actions of extracellular regulators of uterine PGF [conceptus secretory proteins (bCSPs) and platelet-a...

Zero-and-one inflated count time series have only recently become the subject of more extensive interest and research. One possible approaches is represented by first-order, non-negative, integer-valued autoregressive processes with zero-and-one innovations, abbr. ZOINAR(1) processes, introduced recently, around year 2020 to present. This manuscript presents a generalization ZOINAR given introd...

In [KL] it is provcd that the probability of two randomly chosen elements of a finite dassical simple group G actually generating G tends to 1 as lei increases. If gEe, let Pu(g) be the probability that, if h is chosen randomly in G, then (g, h) IG. Let PG : = ma..x{Pu(g) I 9 E e#}. In [KL, Conjecture 2] it is suggested that a stronger result might hold: Pc ---4 0 as IGI ---4 00 for simple clas...

A key problem in computational proteomics is distinguishing between correct and false peptide identifications. We argue that evaluating the error rates of peptide identifications is not unlike computing generating functions in combinatorics. We show that the generating functions and their derivatives ( spectral energy and spectral probability) represent new features of tandem mass spectra that,...

We take a general approach to uncertainty on product spaces, and give sufficient conditions for the independence structures of uncertainty measures to satisfy graphoid properties. Since these conditions are arguably more intuitive than some of the graphoid properties, they can be viewed as explanations why probability and certain other formalisms generate graphoids. The conditions include a suf...