This paper presents Genpex, a system for automatic generation of narrative probability exercises. Generation of exercises in Genpex is done in two steps. First, the system creates a specification of a solvable probability problem, based on input from the user (a researcher or test developer) who selects a specific question type and a narrative context for the problem. Then, a text expressing th...

A new discrete class of life distributions is studied. This class is defined based on comparing the residual life time to the whole life in the probability generating function order giving “the discrete new better than used in the probability generating function order ageing class (d−NBUpg)”. Fundamental properties of this class are given including some closure properties and characterizations....

OBJECTIVE To investigate the influence of primary graft function (PGF) on graft survival and metabolic control after islet transplantation with the Edmonton protocol. RESEARCH DESIGN AND METHODS A total of 14 consecutive patients with brittle type 1 diabetes were enrolled in this phase 2 study and received median 12,479 islet equivalents per kilogram of body weight (interquartile range 11,072-1...

The conceptus is believed to produce factors that regulate endometrial function and prevent luteolysis during early pregnancy. Endometrial tissues were collected from cyclic (n = 8) and pregnant (n = 2) cows at Day 17 post-estrus and cultured for 24 and 48 h with bovine conceptus secretory proteins (bCSP) (0%, 10%, 100%), where the amount of protein produced by a bovine conceptus duirng 24 h of...

1 Branching processes in random environment In this lecture fundamental properties of branching processes in a random environment are developed. In such a process individuals reproduce independently of each other according to random offspring distributions which vary from one generation to the other. To give a formal definition let P = {π} be the space of probability measures on N 0 Equipped wi...

the square map is one of the functions used in cryptography. for instance, the square map is used in rabin encryption scheme, block cipher rc6 and stream cipher rabbit, in different forms. in this paper, we study statistical properties of the output of the square map as a vectorial boolean function. we obtain the joint probability distribution of arbitrary number of the upper and the lower bits...

The purpose of this paper is to justify the claim that a method for generating primes presented at EUROCRYPT'89 generates primes with virtually uniform distribution. Using convincing heuristic arguments, the conditional probability distributions of the size of the largest prime factor p 1 (n) of a number n on the order of N is derived, given that n satisses one of the conditions 2n+1 is prime, ...

We derive recursions for the probability distribution of random sums by computer algebra. Unlike the well-known Panjer-type recursions, they are of finite order and thus allow for computation in linear time. This efficiency is bought by the assumption that the probability generating function of the claim size be algebraic. The probability generating function of the claim number is supposed to b...

Heart. London, Wildwood House, 1974 7. Glass DC: Behaviour Patterns, Stress and Coronary Disease. New York, John Wiley & Sons, 1977 8. Nixon PGF: The human function curve, with special reference to cardiovascular disorders. Practitioner 217: 765, 935, 1976 9. Nixon PGF: The responsibility of the cardiological mapmaker (editorial). Am Heart J 1980. In press 10. Cassel J: The contribution of the ...

OBJECTIVE Primary graft failure (PGF) is a major risk factor for death after heart transplantation. We investigated the predictive risk factors for severe PGF that require extra-corporeal membrane oxygenation (ECMO) circulatory support after cardiac transplantation. METHODS Between January 2003 and December 2008, 402 adult patients underwent isolated cardiac transplantation at our institution...