In this paper, we study Bayesian asymptotic properties of the proportional hazards model where link function is modeled by generalized additive model. As standard is, a useful tool in finding nonlinearity covariate effects to survival times. We develop data-dependent sieve prior for and use bootstrap baseline hazard function. prove that posterior contraction rate minimax optimal up logn term wh...

Abstract The purpose of this review is to present a comprehensive overview the theory ensemble Kalman–Bucy filtering for continuous-time, linear-Gaussian signal and observation models. We system equations that describe flow individual particles sample covariance mean in continuous-time filtering. consider these their characteristics number popular Kalman variants. Given equations, we study asym...

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.

We study the problem of asymptotic consensus as it occurs in a wide range of applications in both man-made and natural systems. In particular, we study systems with directed communication graphs that may change over time. We recently proposed a new family of convex combination algorithms in dimension one whose weights depend on the received values and not only on the communication topology. Her...

Brans-Dicke theory contains an additional propagating mode which causes homogeneous expansion and contraction of test bodies in transverse directions. This "breathing" is associated with novel memory effects addition to those general relativity. Standard tensor memories are related a symmetry principle: they determined by the balance equations corresponding BMS symmetries. In this paper, we sho...

The theory of modular space was initiated by Nakano [1] in connection with the theory of order spaces and was redefined and generalized byMusielak and Orlicz [2]. By defining a norm, particular Banach spaces of functions can be considered. Metric fixed theory for these Banach spaces of functions has been widely studied (see [3]). Another direction is based on considering and abstractly given fu...

This paper deals with the Bayesian estimation of high dimensional Gaussian graphical models. We develop a quasi-Bayesian implementation of the neighborhood selection method of Meinshausen and Buhlmann (2006) for the estimation of Gaussian graphical models. The method produces a product-form quasiposterior distribution that can be efficiently explored by parallel computing. We derive a non-asymp...

Guaranteeing that traditional concepts of stability like uniform global exponential or asymptotic stability (UGES or UGAS) are veri ed when using design tools based on new concepts of stability may be of signi cant importance. It is especially so when attempting to bridge the gap between theory and practice. This paper addresses the question of the applicability of contraction theory to the des...

Abstract This paper is devoted to study the existence and uniqueness of solutions a one parameter family nonlinear Riemann–Liouville fractional differential equations with mixed boundary value conditions. An exhaustive sign related Green’s function carried out. Under suitable assumptions on asymptotic behavior part equation at zero infinity, by application fixed point theory compact operators d...

It is explored that if dominant component of content of the future universe behaves as Chaplygin gas, voilation of other energy conditions (null energy condition, weak energy condition and dominant energy condition) can be avoided if " strong energy condition " is obeyed. In the investigations, here, two cases arise. In one case, universe expands with acceleration leading to finite energy densi...