scholarly journals ESTIMATION OF PARAMETERS ON NETWORK EQUILIBRIUM MODEL USING LINK FLOW DATA: MAXIMUM LIKELIHOOD METHOD CONSIDERING LINKS’ CORRELATION

2006 ◽  
Vol 62 (4) ◽  
pp. 548-557
Author(s):  
Shoichiro NAKAYAMA ◽  
Jun-ichi TAKAYAMA
Keyword(s):  
Maximum Likelihood ◽  
Equilibrium Model ◽  
Maximum Likelihood Method ◽  
Likelihood Method ◽  
Network Equilibrium ◽  
Flow Data ◽  
Estimation Of Parameters

scholarly journals Some Properties and Estimation of Parameters for the Five Parameter Type I Generalized Half Logistic Distribution under Complete Observation

2020 ◽  
pp. 39-46
Author(s):  
O. A. Bello ◽  
P. O. Awodutire ◽  
I. Sule ◽  
H. O. Lawal
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Likelihood Method ◽  
Logistic Distribution ◽  
Type I ◽  
Lifetime Data ◽  
Estimation Of Parameters ◽  
Distribution Estimation ◽  
Complete Observation

This paper is a further study of the five parameter type I generalized half logistic distribution. We derived some properties of the distribution. Estimation of the parameters of the distribution under complete observation was studied using the maximum likelihood method. To assess the flexibility of the distribution, it was applied to a real lifetime data and the results when compared to the sub-models showed that the five parameter type I generalized half logistic distribution performed best.

scholarly journals Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample

2020 ◽  
Vol 30 (2) ◽  
pp. 177-198
Author(s):  
Marija Minic
Keyword(s):  
Maximum Likelihood ◽  
Exponential Distribution ◽  
Maximum Likelihood Method ◽  
Likelihood Method ◽  
Simple Random Sample ◽  
Estimation Of Parameters ◽  
Ranked Set Sample ◽  
Scale Parameters ◽  
Wide Range ◽  
Mean Square Errors

The ranked set sampling (RSS) is a cost-effective method of sampling that can be used in a wide range of statistical problems. In this paper, the shape and the scale parameters of Nadarajah-Haghighi extension of the exponential distribution are estimated based on a simple random sample (SRS) and RSS. Three cases are considered: 1) the scale parameter is known; 2) the shape parameter is known; 3) both shape and scale parameters are unknown. Observations are done when the ranking mechanism in the ranked set sample is perfect and when it is not. Method of moments, the maximum likelihood method, and a modification of the maximum likelihood method are used. The obtained estimators are compared in terms of their biases and mean square errors (MSE). The results revealed that estimators based on RSS tend to show better properties (smaller bias and MSE) relative to their SRS counterparts, regardless of the quality of the ranking.

Sign in / Sign up

Export Citation Format

Share Document