Measuring Stellar Radial Velocity using Markov Chain Monte Carlo(MCMC) Method

AbstractStellar radial velocity is estimated by using template fitting and Markov Chain Monte Carlo(MCMC) methods. This method works on the LAMOST stellar spectra. The MCMC simulation generates a probability distribution of the RV. The RV error can also computed from distribution.

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IMPLEMENTASI METODE MARKOV CHAIN MONTE CARLO DALAM PENENTUAN HARGA KONTRAK BERJANGKA KOMODITAS

E-Jurnal Matematika ◽

10.24843/mtk.2015.v04.i03.p099 ◽

2015 ◽

Vol 4 (3) ◽

pp. 122

Author(s):

PUTU AMANDA SETIAWANI ◽

KOMANG DHARMAWAN ◽

I WAYAN SUMARJAYA

Keyword(s):

Monte Carlo ◽

Markov Chain ◽

Markov Chain Monte Carlo ◽

Simulation Method ◽

Commodity Price ◽

Future Contract ◽

Mcmc Method ◽

Futures Contract ◽

Mcmc Simulation ◽

Hit And Run

The aim of the research is to implement Markov Chain Monte Carlo (MCMC) simulation method to price the futures contract of cocoa commodities. The result shows that MCMC is more flexible than Standard Monte Carlo (SMC) simulation method because MCMC method uses hit-and-run sampler algorithm to generate proposal movements that are subsequently accepted or rejected with a probability that depends on the distribution of the target that we want to be achieved. This research shows that MCMC method is suitable to be used to simulate the model of cocoa commodity price movement. The result of this research is a simulation of future contract prices for the next three months and future contract prices that must be paid at the time the contract expires. Pricing future contract by using MCMC method will produce the cheaper contract price if it compares to Standard Monte Carlo simulation.

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A Study of Perks-II Distribution via Bayesian Paradigm

Pravaha ◽

10.3126/pravaha.v24i1.20221 ◽

2018 ◽

Vol 24 (1) ◽

pp. 1-17

Author(s):

A. K. Chaudhary

Keyword(s):

Monte Carlo ◽

Markov Chain ◽

Markov Chain Monte Carlo ◽

Bayesian Analysis ◽

Real Data ◽

Simulation Method ◽

Mcmc Methods ◽

Data Set ◽

Bayesian Paradigm ◽

Mcmc Simulation

In this paper, the Markov chain Monte Carlo (MCMC) method is used to estimate the parameters of Perks-II distribution based on a complete sample. The procedures are developed to perform full Bayesian analysis of the Perks-II distributions using Markov Chain Monte Carlo (MCMC) simulation method in OpenBUGS, established software for Bayesian analysis using Markov Chain Monte Carlo (MCMC) methods. We have obtained the Bayes estimates of the parameters, hazard and reliability functions, and their probability intervals are also presented. We have also discussed the issue of model compatibility for the given data set. A real data set is considered for illustration under gamma sets of priors.PravahaVol. 24, No. 1, 2018,page: 1-17

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A Bayesian Estimation and Predictionof Gompertz Extension Distribution Using the MCMC Method

Nepal Journal of Science and Technology ◽

10.3126/njst.v19i1.29795 ◽

2020 ◽

Vol 19 (1) ◽

pp. 142-160

Author(s):

Arun Kumar Chaudhary ◽

Vijay Kumar

Keyword(s):

Monte Carlo ◽

Markov Chain ◽

Markov Chain Monte Carlo ◽

Real Data ◽

Simulation Method ◽

Mcmc Methods ◽

Mcmc Method ◽

Data Set ◽

Bayes Estimates ◽

Check Method

In this paper, the Markov chain Monte Carlo (MCMC) method is used to estimate the parameters of the Gompertz extension distribution based on a complete sample. We have developed a procedure to obtain Bayes estimates of the parameters of the Gompertz extension distribution using Markov Chain Monte Carlo (MCMC) simulation method in OpenBUGS, established software for Bayesian analysis using Markov Chain Monte Carlo (MCMC) methods. We have obtained the Bayes estimates of the parameters, hazard and reliability functions, and their probability intervals are also presented. We have applied the predictive check method to discuss the issue of model compatibility. A real data set is considered for illustration under uniform and gamma priors.

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Mapping-Linked Quantitative Trait Loci Using Bayesian Analysis and Markov Chain Monte Carlo Algorithms

Genetics ◽

10.1093/genetics/146.2.735 ◽

1997 ◽

Vol 146 (2) ◽

pp. 735-743 ◽

Cited By ~ 1

Author(s):

Pekka Uimari ◽

Ina Hoeschele

Keyword(s):

Monte Carlo ◽

Markov Chain ◽

Markov Chain Monte Carlo ◽

Quantitative Trait Loci ◽

Quantitative Trait ◽

Allele Frequencies ◽

Mcmc Methods ◽

Substitution Effects ◽

Indicator Variable ◽

Trait Loci

A Bayesian method for mapping linked quantitative trait loci (QTL) using multiple linked genetic markers is presented. Parameter estimation and hypothesis testing was implemented via Markov chain Monte Carlo (MCMC) algorithms. Parameters included were allele frequencies and substitution effects for two biallelic QTL, map positions of the QTL and markers, allele frequencies of the markers, and polygenic and residual variances. Missing data were polygenic effects and multi-locus marker-QTL genotypes. Three different MCMC schemes for testing the presence of a single or two linked QTL on the chromosome were compared. The first approach includes a model indicator variable representing two unlinked QTL affecting the trait, one linked and one unlinked QTL, or both QTL linked with the markers. The second approach incorporates an indicator variable for each QTL into the model for phenotype, allowing or not allowing for a substitution effect of a QTL on phenotype, and the third approach is based on model determination by reversible jump MCMC. Methods were evaluated empirically by analyzing simulated granddaughter designs. All methods identified correctly a second, linked QTL and did not reject the one-QTL model when there was only a single QTL and no additional or an unlinked QTL.

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