Results 11 to 20 of about 123 (118)
Expectation of a uniform random variable with uniform observation errors after selection of the highest observations [PDF]
Uniform distribution, Selection, Conditional expectation, Observation error, Research career, 62E15,
Cornelis A. Van Bochove +1 more
core +1 more source
Moments of the product and ratio of two correlated chi-square variables [PDF]
Bivariate chi-square distribution, Moments, Product of correlated chi-square variables, Ratio of correlated chi-square variables, 62E15, 60E05, 60E10,
Anwar Joarder, Anwar H. Joarder
core +1 more source
On the economic risk capital of portfolio insurance
A formula for the conditional value‐at‐risk of classical portfolio insurance is derived and shown to be constant for sufficiently small loss probabilities. As illustrations, we discuss portfolio insurance for an equity market index using empirical data, and analyze the more general multivariate situation of a portfolio of risky assets.
Werner Hürlimann
wiley +1 more source
Multivariate Fréchet copulas and conditional value‐at‐risk
Based on the method of copulas, we construct a parametric family of multivariate distributions using mixtures of independent conditional distributions. The new family of multivariate copulas is a convex combination of products of independent and comonotone subcopulas.
Werner Hürlimann
wiley +1 more source
On extended type I generalized logistic distribution
We consider a form of generalized logistic distribution which is called extended type I generalized logistic distribution. Some theorems that relate the distribution to some other statistical distributions are established. A possible application of one of the theorems is included.
A. K. Olapade
wiley +1 more source
Extended Fibonacci numbers and polynomials with probability applications
The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and polynomials are obtained.
Demetrios L. Antzoulakos
wiley +1 more source
Generalized distributions of order k associated with success runs in Bernoulli trials
In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first‐passage event, we derive and study a generalized negative binomial distribution of order k, type I, which extends to distributions of order k, the generalized negative binomial distribution of Jain and Consul (1971 ...
Gregory A. Tripsiannis +2 more
wiley +1 more source
Circular Polya distributions of order k
Two circular Polya distributions of order k are derived by means of generalized urn models and by compounding, respectively, the type I and type II circular binomial distributions of order k of Makri and Philippou (1994) with the beta distribution.
Gregory A. Tripsiannis +1 more
wiley +1 more source
A generalized beta function and associated probability density
We introduce and establish some properties of a generalized form of the beta function. Corresponding generalized incomplete beta functions are also defined. Moreover, we define a new probability density function (pdf) involving this new generalized beta function.
Y. Ben Nakhi, S. L. Kalla
wiley +1 more source
On hypergeometric generalized negative binomial distribution
It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three‐term recurrence relation for computing probabilities from the considered distribution is given.
M. E. Ghitany +2 more
wiley +1 more source

