The analysis of survival and reliability considered of topics and methods of vital statistics at the present time because of their importance in the various demographical, medical, industrial and engineering fields. This research focused generate random data for samples from the probability distribution Generalized Gamma: GG, known as: "Inverse Transformation" Method: ITM, which includes the distribution cycle integration function incomplete Gamma integration making it more difficult classical estimation so will be the need to illustration to the method of numerical approximation and then appreciation of the function of survival function. It was estimated survival function by simulation the way "Monte Carlo". The Entropy method used for the purposes of assessment and estimating and fitting, this along with the use of the classical method. It was to identify the best estimation method through the use of a of comparison criteria: Root of Mean Square Error: RMSE, and the Mean Absolute Percentage Error: MAPE. Sample sizes were selected as (n = 18, 30, 50, 81) which represents the size of data generation n = 18 five-year age groups for the phenomenon being studied and the sample size n = 81 age group represents a unilateral, and replicated the experiment (500) times. The results showed the simulation that the Maximum Likelihood method is the best in the case of small and medium-sized samples where it was applied to the data for five-year age groups suffering from disturbances and confusion of Iraq Household socio-Economic survey: IHSES II2012 while entropy method outperformed in the case of large samples where it was applied to age groups monounsaturated resulting from the use of mathematical method lead to results based on the staging equation data (Formula for Interpolation) placed Sprague (Sprague) and these transactions or what is called Sprague transactions (Sprague multipliers) are used to derive the preparation of deaths and the preparation of the population by unilateral age within the age groups a five-year given the use of the death toll and the preparation of the population in this age group and its environs from a five-year categories by using Excel program where the use of age groups monounsaturated data for accuracy not detect any age is in danger of annihilation.
In this paper, suggested method as well as the conventional methods (probability
plot-(p.p.) for estimations of the two-parameters (shape and scale) of the Weibull
distribution had proposed and the estimators had been implemented for different
sample sizes small, medium, and large of size 20, 50, and 100 respectively by
simulation technique. The comparisons were carried out between different methods
and sample sizes. It was observed from the results that suggested method which
were performed for the first time (as far as we know), by using MSE indicator, the
comparisons between the studied and suggested methods can be summarized
through extremely asymptotic for indicator (MSE) results by generating random
error
In this paper, the researcher suggested using the Genetic algorithm method to estimate the parameters of the Wiener degradation process, where it is based on the Wiener process in order to estimate the reliability of high-efficiency products, due to the difficulty of estimating the reliability of them using traditional techniques that depend only on the failure times of products. Monte Carlo simulation has been applied for the purpose of proving the efficiency of the proposed method in estimating parameters; it was compared with the method of the maximum likelihood estimation. The results were that the Genetic algorithm method is the best based on the AMSE comparison criterion, then the reliab
... Show MoreThe research aims to study the estimation of compensation due to those affected by terrorist acts, guided by the legal systems in the Kingdom of Saudi Arabia and the experience of the French and Egyptian legislators, beginning with the dispute over the definition of terrorist act, and analyzing the extent of countries’ commitment to compensating those injured by terrorist acts, the legal basis for compensation for damage, and how the injured person is entitled to compensation and its relationship to standards Compensation and how to estimate it.
The research reached several results, including the multiplicity of legal t
... Show Moreالمستخلـص
تم في هذا البحث دراسة الطرائق اللامعلمية الرتيبة لتقدير دالة الأنحدار اللامعلمي، ومعالجة القيم الشاذة الموجودة في دالة الأنحدار اللامعلمي لجعل الدالة رتيبة (متزايدة أو متناقصة).
لذا سنقوم أولاً بتقدير دالة الأنحدار اللامعلمي بإستخدام ممهد Kernel ومن ثم تطبيق الطرائق الرتيبة لجعل الدالة متزايدة إذ سنتناول ثلاث طرائق للتقدير:-
1- طريقة ste
... Show MoreThe study area is located to the south of Iraq at Al-Shanafiya town, south west of Iraq. Groundwater is the main source for crops irrigation, household uses and livestock drinking. To determine the relative age of groundwater by measuring the tritium concentration in groundwater, four wells and four springs water samples were taken. Found that the mean tritium concentration in springs samples is 4.125 TU where in wells samples is 2 TU. Using Clark and Firtz (1997) classification found that the relative age is amix of sub modern and modern water. Through modern study was performed by Al-Paruany (2013) found that the tritium concentration in rainfall in Al-Diwaniyah Meteoric Station has reached the natural level (approximately 5TU). Throug
... Show MoreRegression models are one of the most important models used in modern studies, especially research and health studies because of the important results they achieve. Two regression models were used: Poisson Regression Model and Conway-Max Well- Poisson), where this study aimed to make a comparison between the two models and choose the best one between them using the simulation method and at different sample sizes (n = 25,50,100) and with repetitions (r = 1000). The Matlab program was adopted.) to conduct a simulation experiment, where the results showed the superiority of the Poisson model through the mean square error criterion (MSE) and also through the Akaiki criterion (AIC) for the same distribution.
Paper type:
... Show MoreThe goal (purpose) from using development technology that require mathematical procedure related with high Quality & sufficiency of solving complex problem called Dynamic Programming with in recursive method (forward & backward) through finding series of associated decisions for reliability function of Pareto distribution estimator by using two approach Maximum likelihood & moment .to conclude optimal policy
Tuberculosis (TB) still remains an important medical problem due to high levels of morbidity and mortality worldwide. A series of innate immune mechanisms that create a cytokine network control the pathogenesis of tuberculosis and this response has the capacity to modify the host genomic DNA structure through epigenetic mechanisms such as DNA methylation which could constantly alter the local gene expression pattern that can modulate the metabolism of the tissues and the immune-response. Interferon-gamma (IFN-γ) is an important pro-inflammatory cytokine regulator of the innate immune response to TB. This study aims to determine DNA methylation patterns of INF-γ gene promoter and measure serum IFN- γ level in newly diagnosed TB patient
... Show MoreIn this paper the method of singular value decomposition is used to estimate the ridge parameter of ridge regression estimator which is an alternative to ordinary least squares estimator when the general linear regression model suffer from near multicollinearity.
In this paper, the 5 minutes measured wind speed data for year 2012 at 10 meter height for Tweitha have been statically analyzed to assess the time of wind turbine electrical power generation. After collection Tweitha wind data and calculation of mean wind speed the cumulative Weibull diagram and probability density function was ploted, then each of cumulative Weibull distribution, cut-in and furling turbine wind speed could be used as a mathematical input parameters in order to estimate the hours of electrical power generation for wind turbine during one day or one year. In Tweitha site, found that the average wind speed was (v= 1.76 m/s), so five different wind turbines were be selected to calculate hours of electrical generation for A
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