Abstract. Maximum likelihood (ML) estimation based on bivariate record data is considered as the general inference problem. Assume that the process of observing k records is repeated m times, independently. The asymptotic properties including consistency and asymptotic normality of the Maximum Likelihood (ML) estimates of parameters of the underlying distribution is then established, when m is ...

Assessment of exposure to airborne endotoxins has been studied for several years, especially in occupational environments, but a large number of procedures are used for sampling and analysis. This lack of standardization makes it very difficult to compare results and set internationally accepted threshold limit values (TLVs) or occupational exposure limits (OELs) for endotoxin exposure. This pa...

In this paper, we establish some new recurrence relations between the single moments of record values from the modified Weibull distribution as well as between the double moments. Next, we show that the results for the record values from the Weibull distribution obtained by Balakrishnan and Chan (1993) can be derived from our results as special cases. In addition, we deduce some new recurrence ...

Let (Xn) be a sequence of independent and identically distributed random variables, with common absolutely continuous distribution F . An observation Xn is a near-record if Xn ∈ (Mn−1 − a, Mn−1], where Mn = max{X1, . . . , Xn} and a > 0 is a parameter. We analyze the point process η on [0,∞) of near-record values from (Xn), showing that it is a Poisson cluster process. We derive the probability...