The proposed procedure makes use of widely used two-parameter gamma distribution function in a simplified manner. The shape and scale parameters of the distribution are derived using simple analytical procedures given by Bhunya et al. (J Hydrol Eng 8(4):226-230, 2003) for situations where ...
The resultpis the probability that a single observation from a gamma distribution with parametersaandbfalls in the interval [0,x]. The gamma cdf is related to the incomplete gamma functiongammaincby f(x∣a,b)=gammainc(xb,a). The standard gamma distribution occurs whenb= 1, which coincides...
Normal Distribution— The normal distribution is a two-parameter continuous distribution that has parametersμ(mean) andσ(standard deviation). Whenais large, the gamma distribution closely approximates a normal distribution withμ=abandσ2=ab2. For an example, seeCompare Gamma and Normal Distribution...
We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...
ofparameters.ThencomparedtheK-SdistancesgottenfromMatlabsimulationunderthetwomethods,wefindthatthemethodofprobabilitypercentileperformsbetterunderdifferentnumbersofsamples,whilethemethodofsamplepercentileisinvalidwhenthesamplesizeissmall.Anothermodelbasedonper-centileisestablishedundertherelationshipbetweenthelikelihoodfunction...
The Monte Carlo simulation methodology was implemented to generate Gamma distributed data, process it with EWMA function and assess the skewness and kurtosis. The purpose of this paper is to evaluate the effect of EWMA parameters on the performance of the EWMA control chart. Moreover, it focuses...
i.e. of its function with respect to the pharmaceutical administered. About 1/3 of the investigations are studies of the dynamic behavior of an organ. Taking thousands of “pictures” (commonly 10 per second), storing and treating them allows a direct study of the function, e.g. heart bea...
Imaging atmospheric Cherenkov telescopes are complex instruments with a large number of parameters influencing the performance. A telescope consists of one or two main mirrors with a collection area of the order of 100 m2, a photo-detection plane consisting of an array of 103−104 photo-multiplie...
It is generally believed that long-duration gamma-ray bursts (GRBs) are associated with massive star core collapse1, whereas short-duration GRBs are associated with mergers of compact star binaries2. However, growing observations3,4,5,6 have suggested that oddball GRBs do exist, and several ...
The case of two gamma populations with equal known shape parameters is studied in detail.doi:10.1080/02331889708802569Paul Van Der Laan & Constance Van EedenDepartment of Mathematics and Computing ScienceStatisticsVan Der Laan, P. and Van Eeden, C. (1996), On using a loss function in ...