Hamid Ghorbani

University of Kashan · Department of Statistics

The goal of this paper is to determine the best-fit probability distribution for describing the annual maximum daily rainfall for the Isfahan (period 1951-2010) and Kashan (period 1966-2010) stations located distantly in Isfahan province as an arid geographical region of Iran. The Gamma, Lognormal, Weibull, Pearson type III, inverse Gumbel, inverse...

This paper corrects and updates Irshad et al. (2021) with some technical comments. The original paper was inadvertently published with some errors, mainly the computational ones regarding the maximum likelihood (ML) estimate of the parameters of the fitted models which will be addressed and corrected in this paper. Furthermore, the standard errors...

Extended Abstract Introduction: As one of the greatest natural disasters, meteorological drought has traditionally affected human life. Considering the fact that the consequences of drought and its socio-economic damages increase with increasing population, it is necessary to have an effective monitoring system to analyze the drought process and r...

Meteorological drought is a complex natural disaster that occurs everywhere in the world. Predicting the occurrence and severity of drought can be effective in managing water crises and their impacts. The purpose of the current study is to select the most appropriate model from statistical models and artificial intelligence (artificial neural netwo...

The data analyzed are the numbers of the galaxies in cubic cells in the universe. An originally given data cubic window was divided by Professor Martinez into 1000 (sample galaxy10), 8000 (sample galaxy20) and 27000 (sample galaxy30) cubic sub-windows and the numbers of galaxies in the sub-windows were given. The aim here is the is to find the prob...

In this paper, first the Boolean random set in 3D is defined briefly, then the model parameters are estimated using the stereological methods when the primery grains are assumed to be the spheres with random radius.

The R codes used in the paper entitled "Carrying out single-stage probability sampling designs using functions in R software"

Non-Parametric Trend Tests and Change-Point Detection for rainfall data

The aim of this paper is to demonstrate how to implement some single-stage sampling designs as well as design-based estimation of finite population parameters and their variances using available R packages. A simulated data set has been used to show how the codes work.

This book is based on the lecture notes for an introductory course in probability, taught by the author for many years. The aim was to offer a concise and clear introduction to probability and to present all the main of essential topics that can be thoroughly covered in a single semester. This book is suitable for using in basic classes on probabil...

Historically, mathematics and architecture have been associated with one another. Ratios are good example of this interconnection. The origin of ratios can be found in nature, which makes the nature so attractive. As an example, consider the architecture inspired by flowers which seems so harmonic to us. In the same way, the architectural plan of m...

Abstract. While methods of detecting outliers are frequently implemented by statisticians when analyzing univariate data, identifying outliers in multivariate data poses challenges that univariate data do not. In this paper, after a short reviewing, some tools for univariate outliers detection, the Mahalanobis distance, as a famous multivariate sta...

Drought as a natural hazard is a gradual phenomenon, slowly affecting an area; it may last for many years and can have devastating effects on the natural environment and in human lives. Although drought forecasting plays an important role in the planning and management of water resource systems, the random nature of contributing factors contributin...

Drought is one of the most complex and unknown natural phenomena that cause a periodic water crisis in the affected areas. Increasing water demand on the one hand and the experience of droughts in the province in recent years have led to the water crisis. Knowing the drought is one of the requirements for water crisis management. The purpose of thi...

While methods of detecting outliers are frequently implemented by statisticians when analyzing univariate data, identifying outliers in multivariate data poses challenges that univariate data do not. In this paper, after short reviewing some tools for univariate outliers detection, the Mahalanobis distance, as a famous multivariate statistical dist...

This article comments on the work of Schoenberg FP et al., “On the distribution of wildfire sizes. Environmetrics. 2003;14:e605. https://doi.org/10.1002/env.605.” These comments are mainly about both numerical and visual goodness‐of‐fit criteria, used for comparing the performance of candidate distributions for wildfire sizes. First, the maximum li...

This book is a very useful resource for courses in nonparametric statistics in which the emphasis is on applications in the social, behavioral, biological, and physical sciences rather than on theory. Each chapter presents several nonparametric procedures and context-based examples in a step-by-step fashion. Additionally, SPSS® screen captures are...

In this paper, Kendall's-τ distance for measuring the distance between two arbitrary permutations along with a general family of distance-based probabilistic models, the so-called Mallows model, for imposing probabilities on a permutation group is introduced.

Stochastic description of the geometry of porous media microstructures, will help the scientists to quantitatively characterize the media and make it easier to study their transport properties. In this paper, the so-called Boolean model, a famous model in stochastic geometry, for modeling the pore phase of the porous medium is introduced and a meth...

The aim here is to introduce and discuss spatially probabilistic models for geometrically complex microstructures, namely the Boolean model, the germ-grain model, and the Johnson-Mehl tessellation. All of these models are the subset of a more general model, the so-called birth-and-growth process. The aim is a step-by-step moving toward modeling the...

In this paper, some statistical indices for detecting clusters in spatial data are presented. After reviewing different types of spatial data, the Moran index for cluster detection in areal data is introduced. As an example, a real data set are analyzed for detecting global and local clusters using given indices and a Monte Carlo simulation is appl...

In this paper, the monthly gas consumption of households in Isfahan province has been modeled using SARIMA models. The best model has been selected bases on AIC criterion and the residuals has been investigated for any notable departure of model assumptions.

معرفی ترجمه

Deterministic growth processes with random stopping times are presented which can lead to Pareto and Weibull distributions and truncated forms of these distributions. These models are used in statistical analyses of various phenomena such as wildfire sizes, numbers of dislocations on silicon wafers, numbers of galaxies in cubic cells of the univers...

Formulas are derived for the spherical contact distribution of a planar germ-grain model Z with circular grains where the germs formeither a 'segment cluster' process or a 'line-based' Poisson point process. They are used in order to estimate the intensity λ of the germ process by means of the spherical contact distribution function. As an applicat...

Gegenstand der Arbeit ist die Entwicklung statistischer Verfahren zur Schätzung der Anzahl der Versetzungen in multikristallinem Silizium. Die erste Methode benutzt Ideen aus der Theorie der Keim-Korn-Modelle, speziell die sphärische Kontaktverteilungsfunktion. Die zweite Methode geht von einer summarischen Modellierung der Intensitätsfunktion aus....

Freiberg (Sachsen), Techn. University, Diss., 2004. Computerdatei im Fernzugriff.