Fitting age-specific fertility rates by a flexible generalized skew normal probability density function

2014 ◽  
Vol 178 (1) ◽  
pp. 187-203 ◽  
Author(s):  
Stefano Mazzuco ◽  
Bruno Scarpa
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Fertility Rates ◽  
Normal Probability ◽  
Normal Probability Density ◽  
Skew Normal

Probably a Distribution

2019 ◽  
pp. 143-162
Author(s):  
Steven J. Osterlind
Keyword(s):  
Probability Density Function ◽  
Least Squares ◽  
Probability Density ◽  
Density Function ◽  
Normal Curve ◽  
Method Of Least Squares ◽  
Modern Times ◽  
Normal Probability ◽  
Standard Normal ◽  
Normal Probability Density

This chapter is all about Carl Gauss, his life, and his accomplishments, including his work in plotting the orbits for Ceres, which he did while still a teenager and which set his reputation. The chapter tells, too, how and when he invented and used his method of least squares and of his dispute with Legendre on who invented it first. One of his most significant accomplishments is his devising (and proof) of the normal probability density function, or, more familiarly, the standard normal curve. This is described and its import and application to modern times is discussed. Also, there is a brief discussion of biographical events and details of his life, such as his reclusive nature in his hometown of Göttingen, and his caring for his ailing mother and then his first and second wives. Some details of his impact today and lasting accomplishments are also provided.

scholarly journals PENENTUAN THRESHOLD CITRA MULUT DENGAN METODE NORMAL PROBABILITY DENSITY FUNCTION (NPDF) GUNA MENDETEKSI MULUT PEMELAJAR

2017 ◽  
Vol 9 (2) ◽  
pp. 137-144
Author(s):  
Anas Anas
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Normal Probability ◽  
Normal Probability Density

Identifikasi wajah merupakan masalah sulit terutama ketika informasi dari fitur wajah tidak cukup atau terbatas. Misalnya dalam segmentasi mulut pemelajar, dimana objek yang diamati tergolong rumit, terutama ciri utama wajah yaitu, mata, mulut, hidung. Pada penelitian ini mengusulkan Normal Probability Density Function (Normal PDF ) dalam melakukan segmentasi dan pemisahan background dan foreground. Dari hasil eksperimen segmentasi mulut pemelajar metode Normal Probability Density Function (Normal PDF) dapat memberikan hasil segmentasi lebih baik. Proses pengukuran nilai rata-rata MSE menggunakan metode Normal Probability Density Function (NPDF) sebesar 275.3953475 piksel. Untuk Proses pengukuran nilai rata-rata PSNR menggunakan metode Normal Probability Density Function (NPDF) sebesar 24.39017959 piksel. Dari nilai rata-rata PSNR terbukti metode Normal Probability Density Function (NPDF) baik dan layak digunakan untuk melakukan segmentasi citra pada mulut pemelajar.

scholarly journals Using Skew-Logistic Probability Density Function as a Model for Age-Specific Fertility Rate Pattern

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Sahar Asili ◽  
Sadegh Rezaei ◽  
Lotfollah Najjar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Probability Density Functions ◽  
Fertility Rate ◽  
Density Functions ◽  
Fertility Rates ◽  
Modal Fertility ◽  
Logistic Probability ◽  
Skew Normal

Fertility rate is one of the most important global indexes. Past researchers found models which fit to age-specific fertility rates. For example, mixture probability density functions have been proposed for situations with bi-modal fertility patterns. This model is less useful for unimodal age-specific fertility rate patterns, so a model based on skew-symmetric (skew-normal) pdf was proposed by Mazzuco and Scarpa (2011) which was flexible for unimodal and bimodal fertility patterns. In this paper, we introduce skew-logistic probability density function as a better model: its residuals are less than those of the skew-normal model and it can more precisely estimate the parameters of the model.

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