frequency polygon
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Nonparametric frequency polygon estimation for modeling input data

2019 ◽  
Author(s):  
Stephen Hague ◽  
Simaan AbouRizk
Keyword(s):  
Density Estimation ◽  
Kernel Density Estimation ◽  
Posterior Distribution ◽  
Input Data ◽  
Probability Distributions ◽  
Kernel Density ◽  
Simulation Environment ◽  
Frequency Polygon ◽  
Density Estimators

To construct valid probability distributions solely from input data, this paper compares three nonparametric density estimators: (1) histograms, (2) Kernel Density Estimation, and (3) Frequency Polygon Estimation. A pseudocode is implemented, a practical example is illustrated, and the Simphony.NET simulation environment is used to fit the nonparametric frequency polygon to a set of data to recreate it as a posterior distribution via the Metropolis-Hastings algorithm.

scholarly journals The Rate of Asymptotic Normality of Frequency Polygon Density Estimation for Spatial Random Fields

2018 ◽  
Vol 08 (06) ◽  
pp. 962-973
Author(s):  
Shanchao Yang ◽  
Xin Yang ◽  
Guodong Xing ◽  
Yongming Li
Keyword(s):  
Asymptotic Normality ◽  
Density Estimation ◽  
Random Fields ◽  
Frequency Polygon

A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data

2014 ◽  
Vol 43 (8) ◽  
pp. 1666-1685
Author(s):  
Wen-shuenn Deng ◽  
Jyh-shyang Wu ◽  
Li-ching Chen ◽  
Shun-jie Ke
Keyword(s):  
Weighted Sums ◽  
Frequency Polygon ◽  
Binned Data
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