Generation and Statistical Properties for Lindley-Polynomial Distribution

For the modeling of the wind speed, we propose a family of distributions in polynomial form generating the Lindley distribution. We call this distribution Lindley-Polynomial distribution. The estimation of parameters using the maximum product spacing estimation method. A real data set has been considered to illustrate the practical utility of the paper

An Analytical Method for Detecting the Change-Point in Simple Linear Regression Model. Application at Weibull Distribution

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Generating the Skew Normal random variable

International audienceIn this paper, for the generating the Skew normal random variables, we propose a new method based on the combination of minimum and maximum of two independent normal random variables. The estimation of parameters using the maximum likelihood estimation and the methods of moments estimation method. A real data set has been considered to illustrate the practical utility of the paper. keyword: Skew normal distribution, maximum likelihood estimation, methods of moments estimation

A method for the Generate a random sample from a finite mixture distributions

International audienceA finite m ixture m odel i s a c onvex c ombination of more probability density functions. By combining the properties of the individual probability density functions, mixture models are capable of approximating any arbitrary distribution. In this work we propose a method for the Generate a random sample from a finite mixture distribution. The proposed method envelope conventional models: translation, scaling and translation-scaling

Construction Of Radar SAR Images From Digital Terrain Model And Geometric Corrections

International audienceWe propose in this paper an original method to correct the geometric distortions of a radar image. The comparison of satellite data, reveals specific problems. Data can be noisy, but especially the geometry of their acquisition requires corrections for comparaisons between them. In this paper we show how highly deformed radar images can be geometrically corrected and compared to map data coming from digital terrain models and also with data coming from SPOT satellite. Radar images used, are from the sensor airborne radar Varan, which is used for data acquisition campaign in the SouthEast of France. Applications include both structural geology, land cover or study of coastline. We propose a solution to rectify radar image in the geometry of a numerical terrain model. The method adopted here, is to produce a synthesis radar image by encoding all flight parameters of aircraft or satellite from a digital terrain model; radar image can then be compared to the synthetic image because points of landmarks can be clearly identified. Finally, we obtain a correspondence between the points of real radar image distorted, and those in the land or map

A Method to Simulate the Skew Normal Distribution

doi:10.4236/am.2014.513201

Various uses of statistical Tools for texture analysis

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Energy Threshold Detection in Neutronic Signal by Automatic Classification and Linear Programming

International audienceIt is proposed in this paper the automatic detection thresholds in the neutronic noise from a nuclear reactor chamber. The proposed method combines a pattern recognition algorithm, known as dynamic cluster and a linear programming algorithm. Euclidean distance, often adopted by default, in the dynamic cluster algorithm; is here replaced by the distance L 1 , also called least absolute deviations (LAD)

Statistical Process Control Methods for Individual Observations

International audienceStatistical process control methods for monitoring processes with individual measurements are considered and two new individual control charts for monitoring process variability and correlation are proposed. The influence function of variance is proposed to monitor process variability. To investigate correlation among two quality characteristics control charts based on the influence function of correlation coefficient are suggested. The advantage of our variance influential control chart is its ability to monitor process variance based only on the measurements of each inspected unit, which is not the case for classical moving range chart where differences from one point to the next are displayed in the graphic, so limiting its use in the matter of mated parts. The proposed techniques are general, and the influence functions may be used to build up individual control charts relative to either nominal values or estimates. The method is further illustrated with real datasets, from a manufacturing system producing precisely interfitting and mating parts