Here, we propose a method of estimation of the derivatives of probability density based wavelets methods for a sequence of m−dependent random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for the such estimators.

richard swinburne is a one of those contemporary philosophers who refers to inductive reasoning to provide explanation for theism. utilizing the principle of credulity and simplicity, and by distinguishing the temporal orders from spatial orders, he attempts to strengthen the probability of the god existence. swinburne tries to answer to the limit-question by the hypothesis of theistic theology...

When preferences are such that there is no unique additive prior, the issue of which updating rule to use is of extreme importance. This paper presents an axiomatization of the rule which requires updating of all the priors by Bayes rule. The decision maker has conditional preferences over acts. It is assumed that preferences over acts conditional on eventE happening, do not depend on lotteries...

For (S, ) a measurable space, let C1 and C2 be convex, weak∗ closed sets of probability measures on . We show that if C1 ∪ C2 satisfies the Lyapunov property, then there exists a set A ∈ such that minμ1∈C1 μ1(A)>maxμ2∈C2 μ2(A). We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability.

this paper presents a probabilistic optimal power flow (popf) algorithm considering different uncertainties in a smart grid. different uncertainties such as variation of nodal load, change in system configuration, measuring errors, forecasting errors, and etc. can be considered in the proposed algorithm. by increasing the penetration of the renewable energies in power systems, it is more essent...

one of the conventional methods for temporary support of tunnels is to use steel sets with shotcrete. the nature of a temporary support system demands a quick installation of its structures. as a result, the spacing between steel sets is not a fixed amount and it can be considered as a random variable. hence, in the reliability analysis of these types of structures, the selection of an appropri...