scholarly journals Flexible Models for Smart Maintenance

2019 ◽  
Author(s):  
Per Mattsson ◽  
Dave Zachariah ◽  
Niclas Bjorsell
Keyword(s):  
Flexible Models

scholarly journals Flexible models for overdispersed and underdispersed count data

2021 ◽  
Author(s):  
Dexter Cahoy ◽  
Elvira Di Nardo ◽  
Federico Polito
Keyword(s):  
Poisson Distribution ◽  
Count Data ◽  
Hypergeometric Functions ◽  
Natural Generalization ◽  
Model Parameters ◽  
Probability Models ◽  
Limiting Behavior ◽  
Poisson Models ◽  
Special Cases ◽  
Flexible Models

AbstractWithin the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the fractional Poisson distribution (fPd), and the standard Poisson distribution. We derive some properties of gfPd and more specifically we study moments, limiting behavior and other features of fPd. The skewness suggests that fPd can be left-skewed, right-skewed or symmetric; this makes the model flexible and appealing in practice. We apply the model to real big count data and estimate the model parameters using maximum likelihood. Then, we turn to the very general class of weighted Poisson distributions (WPD’s) to allow both overdispersion and underdispersion. Similarly to Kemp’s generalized hypergeometric probability distribution, which is based on hypergeometric functions, we analyze a class of WPD’s related to a generalization of Mittag–Leffler functions. The proposed class of distributions includes the well-known COM-Poisson and the hyper-Poisson models. We characterize conditions on the parameters allowing for overdispersion and underdispersion, and analyze two special cases of interest which have not yet appeared in the literature.

Structural Analysis for Space-Swing Mechanism on Gyratory Compactor

2014 ◽  
Vol 621 ◽  
pp. 253-259
Author(s):  
Jing Qian ◽  
Ling Wei Meng
Keyword(s):  
Structural Analysis ◽  
Dynamic Analysis ◽  
Initial Phase ◽  
Mechanical Systems ◽  
Systems Software ◽  
Superpave Gyratory Compactor ◽  
Flexible Models

Based on the automatic dynamic analysis of mechanical systems software, both rigid and flexible models of the space-swing mechanism for the superpave gyratory compactor are developed. The structural analysis shows that the length and the initial phase of cranks, and the assembling accuracy (coordinates) of some points are very sensitive relative to the waving of compaction angle. Greater rigidity helps stabilize the change of the compaction angles.

Bayesian Meta-analysis

2013 ◽  
Author(s):  
Christopher H. Schmid ◽  
Kerrie Mengersen
Keyword(s):  
Bayesian Approach ◽  
Meta Analysis ◽  
Model Parameters ◽  
Likelihood Methods ◽  
Rich Variety ◽  
Other Information ◽  
Maximum Likelihood Methods ◽  
Data Missing ◽  
Flexible Models ◽  
Parameters Of Interest

This chapter introduces a Bayesian approach to meta-analysis. It discusses the ways in which a Bayesian approach differs from the method of moments and maximum likelihood methods described in chapters 9 and 10, and summarizes the steps required for a Bayesian analysis. It shows that Bayesian methods provide the basis for a rich variety of very flexible models, explicit statements about uncertainty of model parameters, inclusion of other information relevant to an analysis, and direct probabilistic statements about parameters of interest. In a meta-analysis context, this allows for more straightforward accommodation of study-specific differences and similarities, nonnormality and other distributional features of the data, missing data, small studies, and so forth.

scholarly journals One size does not fit all: flexible models are required to understand animal movement across scales

2011 ◽  
Vol 80 (5) ◽  
pp. 1088-1096 ◽  
Author(s):  
Charles B. Yackulic ◽  
Stephen Blake ◽  
Sharon Deem ◽  
Michael Kock ◽  
María Uriarte
Keyword(s):  
Animal Movement ◽  
Flexible Models
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