Cumulant plots and goodness-of-fit tests for the inverse Gaussian distribution

Koutrouvelis, Ioannis A.; Karagrigoriou, Alex

doi:10.1080/00949655.2010.531018

Cited by 11 publications

(9 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The significance of each term in the equation is to estimate the goodness of fit in each case. 13 Response surfaces were drawn to determine the individual and interactive effects of the test variable on the hardness, wear resistance and water absorption of the developed brake pad.…”

Section: Methodsmentioning

confidence: 99%

Optimisation of hybridised cane wood–palm fruit fibre frictional material

Achebe

Obika

Chukwuneke

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

A brake pad has been developed employing a hybrid of cane wood and palm fruit fibre as filler material. The filler materials were extracted and processed; however, the palm fruit fibre was further treated with NaOH to remove oil remnants. After proper drying, the filler materials were ground and sieved into 150 µm particle size. The experimental design was set up using Central Composite Design in Design Expert software. The design varied the percentage composition of the filler materials and the binder. At constant press time of 8 min, press temperature of 160 ℃ and curing time of 2 h, 20 test samples were produced and tested for mechanical and physical properties. These include hardness, wear rate and water absorption. The Fourier transform infrared analyses showed that both cane wood and palm fruit fibres have active alcohol (O–H) and amine (C–N) functional groups. The experimental results were analysed and optimised using response surface methodology and validated using the analysis of variance tool of the Design Expert software. An optimal 30% resin, 3.48% palm fruit fibre and 6.52% cane wood composition by mass was developed, which gave a product with 98.25 MPa hardness, 4.13 mg/m wear rate and 0.494% water absorption. This result indicated that hybridised cane wood–palm fruit fibre is a good filler material for brake pad production.

show abstract

Section: Methodsmentioning

confidence: 99%

Optimisation of hybridised cane wood–palm fruit fibre frictional material

Achebe

Obika

Chukwuneke

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

show abstract

“…Let λ (1) , λ (2) , · · · , λ (M) denote the order values of λ 1 , λ 2 , · · · , λ M . Then using the algorithm proposed by Chen and Shao [7], the 100(1-α)% HPD credible interval for λ is given by…”

Section: Hpd Credible Interval Estimationmentioning

confidence: 99%

“…Tweedi [10] has investigated the properties of IG distribution in detail. Koutrouvelis and Karagrigorious [7] provided a complete review on existing tests for the IG distribution. Basak and Balakrishnan [1] developed estimation methods based on progressive Type-II censored samples from three-parameter IG distribution.…”

Section: Introductionmentioning

confidence: 99%

Estimation for inverse Gaussian distribution under first-failure progressive hybird censored samples

Jia

Yan

Peng

2017

Filomat

View full text Add to dashboard Cite

In this paper, a first-failure progressive hybird censoring scheme is introduced that combines progressive first-failure censoring and Type-I censoring. We obtain the maximum likelihood estimators (MLEs) and the Bayes estimators of the unknown parameters from the inverse Gaussian distribution based on the first-failure progressive hybird censoring scheme. The Bayes estimates are computed under squared error, Linex and general entropy loss functions. The asymptotic confidence intervals and coverage probabilities for the parameters are obtained based on the observed Fisher's information matrix. Also, highest posterior density credible intervals for the parameters are computed using Gibbs sampling procedure. A Monte Carlo simulation study is conducted in order to compare the Bayes estimators with the MLEs. Real life data sets are provided to illustration purposes.

show abstract

“…For this problem there exist several modified versions of the classical empirical distribution function (EDF) tests and some tests based on the empirical Laplace transform of the observations. Koutrouvelis and Karagrigoriou (2012) (1), which are asymptotically independent of parameter φ under the null hypothesis. Vexler et al (2011) proposed a test based on an empirical likelihood ratio, which can be considered of the same type of the tests proposed here.…”

Section: Introductionmentioning

confidence: 98%