In this paper, we provide a general definition of the Leimkuhler curve in terms of the theoretical cumulative distribution function. The definition applies to discrete, continuous and mixed random variables. Several examples are given to illustrate the use of the formula.

In this paper, a simple relation between the Leimkuhler curve and the mean residual life is established. The result is illustrated with several models commonly used in informetrics, such as exponential, Pareto and lognormal. Finally, relationships with some other reliability concepts are also...

In this paper, we study reliability properties in two classes of bivariate continuous distributions based on specification of conditional hazard functions. These classes were constructed by conditioning on two different kinds of events in Arnold and Kim [6]. Several reliability properties are...

It is well known that full knowledge of all conditional distributions will typically serve to completely characterize a bivariate distribution. Partial knowledge will often suffice. For example, knowledge of the conditional distribution of X given Y and the conditional mean of Y given X is often...

Distributions with normal conditionals have biquadratic regression functions. Consequently, in contrast to classical bivariate normal distributions, their densities can be multimodal. Criteria for determining the number of modes are discussed and illustrations of representative multimodal...

A k-dimensional density function is determined by certain combinations of marginal and conditional densities. The present paper identifies all possible such specifications. Gelman and Speed (1993) have treated the finite discrete case of this problem. The present paper extends their work to a...

. Este trabajo se centra en el estudio de la distribución personal de la renta en España desde una doble perspectiva. En primer lugar, se aborda la evolución de la distribución personal de la renta en España en la última década utilizando los datos del Panel de Hogares de la Unión...

A new discrete distribution depending on two parameters, [alpha]1,[alpha][not equal to]0 and 0[theta]1, is introduced in this paper. The new distribution is unimodal with a zero vertex and overdispersion (mean larger than the variance) and underdispersion (mean lower than the variance) are...

<b>RESUMEN</b><br> <br> El objetivo de este trabajo es el estudio de la desigualdad en la distribución personal de la<br> renta en España y por CC.AA. utilizando diversas especificaciones probabilísticas de carácter paramétrico. Se proponen dos modelos robustos para modelizar datos de renta usando la función...