The Random Average Mode Estimator

A Nonparametric Random Effects Estimator∗

This paper proposes feasible nonparametric random effects estimators. Specifically, we propose feasible versions of the two estimators in Lin and Carroll (2000) and a modified version of the random effects estimator in Ullah and Roy (1998). Further, the consistency properties of these estimators are established.

A New Exponential Type Estimator for the Population Mean in Simple Random Sampling

‎In this paper‎, ‎a new estimate of exponential type of auxiliary information to help simple random sampling without replacement of the finite population mean is introduced‎. ‎This new estimator with a few other estimates using two real data sets are compared with the mean square error‎.

Classification on the average of random walks

We introduce a new method for studying large scale properties of random walks. The new concepts of transience and recurrence on the average are compared with the ones introduced in [1] and with the usual ones; their relationships are analyzed and various examples are provided.

Average persistence of random walks

– We study the first passage time properties of an integrated Brownian curve both in homogeneous and disordered environments. In a disordered medium we relate the scaling properties of this center-of-mass persistence of a random walker to the average persistence, the latter being the probability Ppr(t) that the expectation value 〈x(t)〉 of the walker’s position after time t has not returned to t...

On the average number of sharp crossings of certain Gaussian random polynomials