Efficient Sequential Estimation in Exponential-Type Processes

Sequential estimation of linear combinations of the location and scale parameters in negative exponential distribution

Sequential estimation is used where the total sample size is not fix and the problem cannot solve with this fixed sample size. Sequentially estimating the mean in an exponential distribution (one and two parameter), is an important problem which has attracted attentions from authors over the years. These largely addressed an exponential distribution involving a single or two parameters. In t...

sequential estimation in a subclass of exponential family under weighted squared error loss

in a subclass of the scale-parameter exponential family, we consider the sequential pointestimation of a function of the scale parameter under the loss function given as the sum of the weightedsquared error loss and a linear cost. for a fully sequential sampling scheme, second order expansions areobtained for the expected sample size as well as for the regret of the procedure. the former resear...

Estimation with Sequential Order Statistics from Exponential Distributions

The lifetime of an ordinary k-out-of-n system is described by the (n − k + 1)st order statistic from an iid sample. This set-up is based on the assumption that the failure of any component does not affect the remaining ones. Since this is possibly not fulfilled in technical systems, sequential order statistics have been proposed to model a change of the residual lifetime distribution after the ...

Efficient Risk Estimation via Nested Sequential Simulation

W analyze the computational problem of estimating financial risk in a nested simulation. In this approach, an outer simulation is used to generate financial scenarios, and an inner simulation is used to estimate future portfolio values in each scenario. We focus on one risk measure, the probability of a large loss, and we propose a new algorithm to estimate this risk. Our algorithm sequentially...

Efficient Estimation in Invertible Linear Processes