This study aims to compare normality tests in different sample sizes data with normal distribution under kurtosis and skewness coefficients obtained simulatively. To this end, firstly, simulative were produced using the MATLAB program for skewness/kurtosis sizes. The analysis of each type was conducted ten tests; namely, (Kolmogorov Smirnov (KS) Test, KS Stephens Modification, Marsaglia, Lillie...

In this paper we construct high moment partial sum processes based on residuals of a GARCH model when the mean is known to be 0. We consider partial sums of kth powers of residuals, CUSUM processes and self-normalized partial sum processes. The kth power partial sum process converges to a Brownian process plus a correction term, where the correction term depends on the kth moment μk of the inno...

We derive general distribution tests based on the method of Maximum Entropy density. The proposed tests are derived from maximizing the differential entropy subject to moment constraints. By exploiting the equivalence between the Maximum Entropy and Maximum Likelihood estimates of the general exponential family, we can use the conventional Likelihood Ratio, Wald and Lagrange Multiplier testing ...

Preprocessing an image is an important element of image processing. When images are corrupted with fixed-value impulse noise or random-value impulse noise, it is essential to restore the quality of the degraded image using linear or non-linear filters, in order to make them suitable for subsequent processing. It has been proved that non-linear filters are effective in suppressing or eliminating...

We examine the assertion that the two-parameter lognormal distribution is an appropriate parametric model for the shot length distributions of Hollywood films. A review of the claims made in favour of assuming lognormality for shot length distributions finds them to be lacking in methodological detail and statistical rigour. We find there is no supporting evidence to justify the assumption of l...

The main objective of this study is to examine the role digital banking services on commercial banks’ performance in Somalia. A descriptive research design was used illustrate relationship between variables. selected 300 participants using stratified random sampling. employed Kobo-collect tool collect data from field. SPSS v28 and Eviews12 analysis tools were study. ADF test results show that a...

Normal distribution has a vital role for the most of statistical methods. Box-Cox power transformation is usually applied method when data not normal. In this study, novel algorithm proposed assembling different estimates well performed six techniques through random effect model in meta analysis. These include use goodness-of-fit tests normality; Anderson–Darling, Lilliefors, Cramer-von Mises, ...

The key macroeconomic objectives being pursued by any developing country are low unemployment, inflation, and sustainable growth. main aim of this study was to analyze the effect unemployment inflation on economic growth in South Africa for period 1994 2018, using quarterly data. results unit root test Augmented Dickey Fuller Phillips Perron tests showed that all variables have a levels became ...

Investors are concerned with market fluctuation. At NEPSE, fluctuation is linked to the trade volume and number of shares traded during a specific day. A change in benchmark index, Nepalese stock depends on capitalization. Hence, estimate pattern, better understanding distribution nature trades beneficial investors. This ultimately helps an investor understand mechanism. The paper has followed ...

The process quality capability indicators Cp and Cpk are widely used to measure capability. Traditional metric estimation methods require data be explicit normally distributed. Often, the actual obtained from production regarding measurements of features incomplete do not have a normal distribution. This means that use traditional estimating may lead erroneous results. Moreover, in case qualita...