On distribution function ? Moment relationships in a stationary point process

On the Second Moment of the Number of Crossings by a Stationary Gaussian Process

to have a finite variance of the number of zeros of a centered stationary Gaussian process with twice differentiable covariance function r. This condition is known as the Geman condition, since Geman proved in 1972 that it was also a necessary condition. Up to now no such criterion was known for counts of crossings of a level other than the mean. This paper shows that the Geman condition is sti...

A Damped Telegraph Random Process with Logistic Stationary Distribution

We introduce a stochastic process that describes a finite-velocity damped motion on the real line. Differently from the telegraph process, the random times between consecutive velocity changes have exponential distribution with linearly increasing parameters. We obtain the probability law of the motion, which admits a logistic stationary limit in a special case. Various results on the distribut...

Stationary Distribution of a Perturbed Quasi-birth-and-death Process

The moment generating function of a bivariate gamma-type distribution

A bivariate gamma-type density function involving a confluent hypergeometric function of two variables is being introduced. The inverse Mellin transform technique is employed in conjunction with the transformation of variable technique to obtain its moment generating function, which is expressed in terms of generalized hypergeometric functions. Its cumulative distribution function is given in c...

Intergenerational relationships process in nursing homes: A grounded theory study

Aims: In the context of the nursing home, intergenerational relationships has of particular importance because people of different ages and from different generations interact with each other. Caregivers, including nurses, can cover a wide range of intergenerational relationships in the form of care provided to the elderly. Despite the importance of intergenerational relationship among the elde...