পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| মার্কভ চেইন মন্টি কার্লো (MCMC)× | মন্টে কার্লো সিমুলেশন× | |
|---|---|---|
| ক্ষেত্র≠ | অনুকরণ | সিদ্ধান্ত গ্রহণ |
| পরিবার≠ | Process / pipeline | MCDM |
| উদ্ভবের বছর≠ | 1953 (Metropolis-Hastings); 1984 (Gibbs) | 1949 |
| প্রবর্তক≠ | Metropolis et al. (1953); Gibbs sampler formalised by Geman & Geman (1984) | Metropolis, N., Ulam, S. |
| ধরন≠ | Simulation-based Bayesian inference / numerical integration | Robustness wrapper — Monte Carlo uncertainty propagation |
| মৌলিক উৎস≠ | Gelman, A., Carlin, J.B., Stern, H.S., Dunson, D.B., Vehtari, A. & Rubin, D.B. (2013). Bayesian Data Analysis (3rd ed.). Chapman & Hall/CRC. DOI ↗ | Metropolis, N., Ulam, S. (1949). The Monte Carlo method. Journal of the American Statistical Association DOI ↗ |
| অপর নাম≠ | MCMC, Metropolis-Hastings, Gibbs sampling, Markov Zinciri Monte Carlo (MCMC — Metropolis-Hastings, Gibbs) | — |
| সম্পর্কিত≠ | 5 | 0 |
| সারসংক্ষেপ≠ | Markov Chain Monte Carlo (MCMC) is a family of simulation algorithms that constructs a Markov chain whose stationary distribution is the target posterior, enabling Bayesian inference and high-dimensional integral computation that would otherwise be analytically intractable. Pioneered by Metropolis and colleagues in 1953 and extended by Hastings in 1970, MCMC underpins modern Bayesian statistics. The two most widely used variants are Metropolis-Hastings, which proposes moves from a general proposal distribution, and Gibbs sampling, which draws each parameter in turn from its full conditional distribution. | MONTE-CARLO-SIMULATION (Monte Carlo Simulation — Stochastic uncertainty propagation through MCDM model) is a ranking multi-criteria decision-making (MCDM) method introduced by Metropolis, N., Ulam, S. in 1949. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. |
| ScholarGateডেটাসেট ↗ |
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