In the present piece of work, we are going to propose a new trigonometry based transformation called PCM transformation. We have been obtained its various statistical properties such as survival function, hazard rate reverse-hazard moment generating median, stochastic ordering etc. Maximum Likelihood Estimator (MLE) method under classical approach and Bayesian approaches tackled obtain estimate...

Modeling sparse data such as microbiome and transcriptomics (RNA-seq) is very challenging due to the exceeded number of zeros skewness distribution. Many probabilistic models have been used for modeling data, including Poisson, negative binomial, zero-inflated binomial models. One way identify most appropriate or hurdle based on p-value Kolmogorov-Smirnov (KS) test. The main challenge identifyi...

BACKGROUND The problem considered is the quantitative comparison of immunofluorescence frequency distributions in order to detect their differences of biological significance, i.e., to evaluate the potential positivity of a cell sample with respect to negative control cells. The Kolmogorov-Smirnov (KS) statistical test, proposed in the literature for this purpose, is examined and discussed thro...

Binary decisions are very common in artificial intelligence. Applying a threshold on the continuous score gives the human decider the power to control the operating point to separate the two classes. The classifier’s discriminating power is measured along the continuous range of the score by the Area Under the ROC curve (AUC_ROC) in most application fields. Only finances uses the poor single po...

Brinker is the key target protein of the Drosophila Decapentaplegic morphogen signalling pathway. Brinker is widely expressed and can bind with DNA. NMR spectra suggest that apo-Brinker is intrinsically unstructured and undergoes a folding transition upon DNA-binding. However, the coupled mechanism of binding and folding is poorly understood. Here, we performed molecular dynamics (MD) simulatio...

The concepts of cumulative distribution function and empirical distribution function are investigated for fuzzy random variables. Some limit theorems related to such functions are established. As an application of the obtained results, a method of handling fuzziness upon the usual method of Kolmogorov–Smirnov one-sample test is proposed. We transact the α-level set of imprecise observations in ...

Deciding on the unimodality of a dataset is an important problem in data analysis and statistical modeling. It allows to obtain knowledge about structure dataset, ie. whether points have been generated by probability distribution with single or more than one peaks. Such very useful for several problems, such as deciding number clusters determining unimodal projections. We propose technique call...

Background: Understanding of the incident electron energy and angular distributions from clinical electron accelerators (linacs) is important for dosimetry and treatment planning. The most important goals of this study were to evaluate the energy fluence and angular distributions of electron beams from a Neptun 10PC linac using the Monte Carlo (MC) code. Materials and Methods: The lina...

The diameter distributions of trees in 50 temporary sample plots (TSPs) established Pinus halepensis Mill. stands were recovered from LiDAR metrics by using six probability density functions (PDFs): the Weibull (2P and 3P), Johnson’s SB, beta, generalized beta gamma-2P functions. parameters first second moments (mean variance, respectively) parameter recovery models (PRM). Linear used to predic...