Many if not most lifetime distributions are motivated only by mathematical interest. Here, a new three-parameter distribution motivated mainly by lifetime issues is introduced. Some properties of the new distribution including estimation procedures, univariate generalizations and bivariate...

We present the basic distribution theory of δ-record values, R <Subscript> n,δ </Subscript>, δ≤0, from a sequence of independent and identically distributed random variables from an absolutely continuous parent. We obtain recurrent formulas for the density function of R <Subscript> n,δ </Subscript> and a representation for this random...</subscript></subscript>

A stochastic marked point process model based on doubly stochastic Poisson process is considered in the problem of prediction for the total size of future marks in a given period, given the history of the process. The underlying marked point process <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(T_{i},Y_{i})_{i\ge 1}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mrow> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>Y</mi> <mi>i</mi>...</msub></mrow></msub></math></equationsource></equationsource></inlineequation>