Linganisha mbinu

	Uigaji wa Stochastiki wa Viwango Vya Mtu Binafsi	Mfumo wa Markov wa Kistokastiki
Nyanja	Uigaji	Uigaji
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1957	1993
Mwanzilishi	Guy H. Orcutt	Markov, A. A. (probabilistic extension developed by Sonnenberg & Beck and others)
Aina	Stochastic individual-level simulation	Probabilistic state-transition model with Monte Carlo uncertainty propagation
Chanzo asilia	Orcutt, G. H. (1957). A new type of socio-economic system. The Review of Economics and Statistics, 39(2), 116–123.	Sonnenberg, F. A., & Beck, J. R. (1993). Markov models in medical decision making: A practical guide. Medical Decision Making, 13(4), 322–338.
Majina mbadala	Probabilistic Microsimulation, Monte Carlo Microsimulation, Stochastic Micro-simulation, SMSM	Probabilistic Markov Model, Stochastic Markov Chain, SMM, Monte Carlo Markov Model
Zinazohusiana	6	6
Muhtasari	Stochastic Microsimulation tracks a large population of individual units — people, households, or firms — through time by applying random draws from empirically estimated probability distributions at each transition event. Unlike deterministic counterparts, every state change is decided by chance, preserving realistic heterogeneity and allowing rigorous uncertainty quantification across multiple simulation runs.	A Stochastic Markov Model is a simulation technique that represents a system as a set of mutually exclusive health or decision states, moves a cohort (or individual agents) through those states using probabilistically sampled transition parameters, and aggregates outcomes across thousands of Monte Carlo iterations to produce full probability distributions over costs, outcomes, or rankings rather than single point estimates.