as n → ∞. This is a deep extension of Hardy-Ramanujan Theorem (see [13]). In addition, the central limit theorem holds in a more general setting for additive functions. A formal treatment and proofs can be found in e.g. Durrett [7]. In terms of rate of convergence to the Gaussian distribution, i.e. Berry-Esseen bounds, Rényi and Turán [18] obtained the sharp rate of convergenceO(1/ √ log logn)....

For over a decade nonparametric modelling has been successfully applied to study nonlinear structures in nancial time series It is well known that the usual nonpara metric models often have less than satisfactory performance when dealing with more than one lag When the mean has an additive structure however better estimation methods are available which fully exploit such a structure Although in...

this present study was conducted to evaluate the effects of dietary inclusion of 4, 8 and 12 g kg-1 phytogenic feed additives mixture on performance, egg quality, ovary parameters, serum biochemical parameters and yolk trimethylamine level in laying hens. the results of experiment have shown that egg weight was increased by supplementation of 12 g kg-1 feed additive whereas egg production, feed...

due to cereal are affected by drought stress in their lifetime. in order to study gene action of bread wheat under drought stress condition, a generation mean analysis was performed using f1, f2 and f3 generations derived from roushan and kavir. generation mean analysis was performed based on joint scaling test. genetic parameters including additive effect (d), dominance effect (h), additive×ad...

OBJECTIVE A whole genome association study was conducted to identify single nucleotide polymorphisms (SNPs) with additive and dominant effects for growth and carcass traits in Korean native cattle, Hanwoo. METHODS The data set comprised 61 sires and their 486 Hanwoo steers that were born between spring of 2005 and fall of 2007. The steers were genotyped with the 35,968 SNPs that were embedded...

In this paper two different methods are presented to approximate the solution of the fractional Black-Scholes equation for valuation of barrier option. Also, the two schemes need less computational work in comparison with the traditional methods. In this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the appli...

Some methodological developments in Bayesian time series analysis are discussed and illustrated in analyses of an oxygen isotope record of some geological interest. The developments include the implementation of Bayesian simulation analyses of auto-regressions, and state-space autoregressions, with a particular focus on spectral characteristics; various such analyses are summarised. A useful ti...

We describe a unification of old and recent ideas for formulating graphical models to explain time series data, including Granger causality, semi-automated search procedures for graphical causal models, modeling of contemporaneous influences in times series, and heuristic generalized additive model corrections to linear models. We illustrate the procedures by finding a structure of exogenous va...