Trimmed Linear moments (TL-moments) are natural generalization of L-moments that do not require the mean of the underlying distribution to exist. It is known that the sample TL-moments is unbiased estimators to corresponding population TL-moment. Since different choices for the amount of trimming give different values of the estimators it is important to choose the estimator that has minimum mean squares error than others. Therefore, we derive an optimal choice for the amount of trimming from known distributions based on the minimum errors between the estimators. Moreover, we study simulation-based approach to choose an optimal amount of trimming and maximum like hood method by computing the estimators and mean squares error for range of trimming and choose the one which has minimum mean squares error .
In this paper, we derived an estimators and parameters of Reliability and Hazard function of new mix distribution ( Rayleigh- Logarithmic) with two parameters and increasing failure rate using Bayes Method with Square Error Loss function and Jeffery and conditional probability random variable of observation. The main objective of this study is to find the efficiency of the derived of Bayesian estimator compared to the to the Maximum Likelihood of this function using Simulation technique by Monte Carlo method under different Rayleigh- Logarithmic parameter and sample sizes. The consequences have shown that Bayes estimator has been more efficient than the maximum likelihood estimator in all sample sizes with application
Total flavonoid contents, reductive ability and radical scavenging activity were studied in the methanol extracts of Arum maculatum L. and Physalis peruviana L. The results revealed that A. maculatum extract had total flavonoids of 535.3±109.9 µg/ml, which was significantly higher than the recorded flavonoids in P. peruviana extract (352.0±12.7 µg/ml). Assessment of reductive ability revealed that both extract were effective in such activity and concentration-dependent. The highest absorbance was found at the concentration 0.64 mg/ml of A. maculatum methanol extract (0.929±0.006), which was significantly higher (P ≤ 0.05) than the corresponding concentration of P. peruviana extract (0.850
... Show MoreLeishmania causes disease ranging from self-healing cutaneous to fatal visceral leishmaniasis (VL). Leishmaniasis is reported endemic in 88 countries, including Iraq, in which 82% in low-income countries. The diseases develop following the bite of sand flies injecting Leishmania promastigotes into skin. Promastigotes transform into amastigotes in vivo multiplying within macrophages. In this study we have investigated the ability of axenic procyclic promastigotes of cutaneous Leishmania tropica and visceral Leishmania donovani survive in M199 media with or without Fetal Bovine Serum (FBS) added. Three time incubation periods were adopted (24, 48 and 72) hours and the results showed that L. tropica was able to survive and multiply in both
... Show MoreThis paper deals with constructing mixed probability distribution from exponential with scale parameter (β) and also Gamma distribution with (2,β), and the mixed proportions are ( .first of all, the probability density function (p.d.f) and also cumulative distribution function (c.d.f) and also the reliability function are obtained. The parameters of mixed distribution, ( ,β) are estimated by three different methods, which are maximum likelihood, and Moments method,as well proposed method (Differential Least Square Method)(DLSM).The comparison is done using simulation procedure, and all the results are explained in tables.
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In this paper, the propose is to use the xtreme value distribution as the rate of occurrence of the non-homogenous Poisson process, in order to improve the rate of occurrence of the non-homogenous process, which has been called the Extreme value Process. To estimate the parameters of this process, it is proposed to use the Maximum Likelihood method, Method of Moment and a smart method represented by the Artificial Bee Colony:(ABC) algorithm to reach an estimator for this process which represents the best data representation. The results of the three methods are compared through a simulation of the model, and it is concluded that the estimator of (ABC) is better than the estimator of the maximum likelihood method and method of mo
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The purpose of this paper is to study a new types of compactness in bitopological spaces. We shall introduce the concepts of L- compactness.