scholarly journals Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers

2004 ◽  
Vol 38 (3) ◽  
pp. 227-241 ◽  
Author(s):  
Kuo-Hsiung Wang ◽  
Sheau-Chyi Chen ◽  
Jau-Chuan Ke
Keyword(s):  
Maximum Likelihood ◽  
Confidence Intervals ◽  
Maximum Likelihood Estimates ◽  
Heterogeneous Servers

Likelihood-based confidence intervals of relative fitness for a common experimental design

2005 ◽  
Vol 62 (3) ◽  
pp. 693-699 ◽  
Author(s):  
Steven T Kalinowski ◽  
Mark L Taper
Keyword(s):  
Maximum Likelihood ◽  
Experimental Design ◽  
Confidence Intervals ◽  
Maximum Likelihood Estimates ◽  
Relative Fitness ◽  
Literature Analysis ◽  
Confidence Limits ◽  
Sample Sizes ◽  
Statistical Inferences ◽  
Different Types

Statistical inferences concerning the relative fitness of different types of individuals in a population have not been well developed. We present a method for calculating confidence intervals for maximum likelihood estimates of relative fitness obtained from an experimental design that is common in the fisheries literature. Analysis and simulation show that these confidence limits are reliable. We also show that the bias of the estimates is low for realistic sample sizes.

Infinite Parameter Estimates in Logistic Regression: Opportunities, Not Problems

2002 ◽  
Vol 27 (2) ◽  
pp. 147-161 ◽  
Author(s):  
David Rindskopf
Keyword(s):  
Logistic Regression ◽  
Maximum Likelihood ◽  
Confidence Intervals ◽  
Maximum Likelihood Estimates ◽  
Parameter Estimates ◽  
Strict Sense ◽  
Hypothesis Tests ◽  
Infinite Slope ◽  
Alternative Method

Infinite parameter estimates in logistic regression are commonly thought of as a problem. This article shows that in principle an analyst should be happy to have an infinite slope in logistic regression, because it indicates that a predictor is perfect. Using simple approaches, hypothesis tests may be performed and confidence intervals calculated even when a slope is infinite. Some functions of parameters that are infinite are still well defined, and reasonable estimates of these quantities (in particular, LD50) may be obtained even when the maximum likelihood estimates do not, in a strict sense, exist. Surprisingly, these techniques can provide more reasonable and useful results than the most popular alternative method, exact logistic regression.

Maximum likelihood estimates in an M/M/c queue with heterogeneous servers

2013 ◽  
Vol 5 (4) ◽  
pp. 537 ◽  
Author(s):  
Sarat Kumar Acharya ◽  
Sara Verónica Rodríguez Sánchez ◽  
César Emilio Villarreal Rodríguez
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimates ◽  
Heterogeneous Servers

scholarly journals The Type I Generalized Half-Logistic Distribution Based on Upper Record Values

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Devendra Kumar ◽  
Neetu Jain ◽  
Shivani Gupta
Keyword(s):  
Maximum Likelihood ◽  
Confidence Intervals ◽  
Record Values ◽  
Maximum Likelihood Estimates ◽  
Logistic Distribution ◽  
Type I ◽  
Special Cases ◽  
Upper Record Values ◽  
Upper Record ◽  
First Four Moments

We consider the type I generalized half-logistic distribution and derive some new explicit expressions and recurrence relations for marginal and joint moment generating functions of upper record values. Here we show the computations for the first four moments and their variances. Next we show that results for record values of this distribution can be derived from our results as special cases. We obtain the characterization result of this distribution on using the recurrence relation for single moment and conditional expectation of upper record values. We obtain the maximum likelihood estimators of upper record values and their confidence intervals. Also, we compute the maximum likelihood estimates of the parameters of upper record values and their confidence intervals. At last, we present one real case data study to emphasize the results of this paper.

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