We consider the goodness of fit testing problem for ergodic diffusion processes. The basic hypothesis is supposed to be simple. The diffusion coefficient is known and the alternatives are described by the different trend coefficients. We study the asymptotic distribution of the Cramer-von Mises type tests based on the empirical distribution function and local time estimator of the invariant den...

We display the power Topp-Leone (PTL) distribution with two parameters. The following major features of PTL are investigated: quantile measurements, certain moment’s measures, residual life function, and entropy measure. Maximum likelihood, least squares, Cramer von Mises, weighted squares approaches used to estimate A numerical illustration is prepared compare behavior achieved estimates. Data...

In the presented work, a continuous distribution named arctan exponential extension has been introduced along with relevant properties which are statistically and mathematically derived analyzed. While estimating model parameters, three well-known estimation methods employed Cramer-Von-Mises (CVM), maximum likelihood (MLE) least-square (LSE) methods. With help of real set data, in comparison to...

Gompertz flexible Weibull distribution is an extension of distribution. We tackle the problem estimation parameters discuss several methods for Maximum likelihood estimators, least squares weighted Anderson-Darling Cramer-von Mises estimators are considered. A Monte Carlo simulation study performed in order to compare these terms their biases and mean square errors. Also, real data applications...

This paper considers various estimation methods to estimate the unknown parameters of DUS Inverse Weibull (DIW) distribution using maximum likelihood (ML), least squares (LS), weighted (WLS), Cramer-von Mises (CVM) and Anderson-Darling (AD) estimators. A Monte-Carlo simulation study is conducted determine most preferable estimators in terms their efficiencies. Furthermore, error simple linear r...

An innovative way of calculating the von Mises distribution of image entropy is introduced in this paper. The von Mises distribution's concentration parameter and some fitness parameter that will be defined later have been analyzed in the experimental part for determining their suitability as an image quality assessment measure in some particular distortions such as Gaussian blur or additive Ga...

We have defined a modified form of the inverse NHE distribution in this study. The suggested distribution's hazard function might be shaped like constant or increasing. Some statistical properties are all clearly derived. Maximum likelihood, Least squares, and Cramer-Von-Mises methods applied to determine novel parameters. For estimators, asymptotic confidence intervals been determined as well....

In this article, we have introduced a new probability distribution having three parameters using half Cauchy family of named extended exponential distribution. The statistical properties and characteristics the proposed like hazard rate function (HRF), cumulative function, density (PDF), (CDF), quantile skewness, kurtosis are provided. estimated Cramer-Von-Mises (CVM) least-square estimation (L...