butools
  • Utilities (butools.utils)
    • Solution of Markov chains and rational processes
  • Markov Chains (butools.mc)
    • Markov chains and rational processes
    • Properties of Markov chains and rational processes
      • butools.mc.CTMCSolve
      • butools.mc.DTMCSolve
      • butools.mc.CRPSolve
      • butools.mc.DRPSolve
      • butools.mc.CheckGenerator
      • butools.mc.CheckProbMatrix
      • butools.mc.CheckProbVector
  • Moment expressions (butools.moments)
    • Moment expressions
    • Conversion routines between various moment expressions
      • butools.moments.NormMomsFromMoms
      • butools.moments.MomsFromNormMoms
      • butools.moments.ReducedMomsFromMoms
      • butools.moments.MomsFromReducedMoms
      • butools.moments.HankelMomsFromMoms
      • butools.moments.MomsFromHankelMoms
      • butools.moments.FactorialMomsFromMoms
      • butools.moments.MomsFromFactorialMoms
      • butools.moments.JFactorialMomsFromJMoms
      • butools.moments.JMomsFromJFactorialMoms
      • butools.moments.CheckMoments
  • Representation Transformation Tools (butools.reptrans)
    • Tools for representation transformation
      • butools.reptrans.SimilarityMatrix
      • butools.reptrans.SimilarityMatrixForVectors
      • butools.reptrans.TransformToMonocyclic
      • butools.reptrans.TransformToAcyclic
      • butools.reptrans.ExtendToMarkovian
      • butools.reptrans.FindMarkovianRepresentation
      • butools.reptrans.MStaircase
  • Tools for Phase-Type Distributions (butools.ph)
    • Phase-type and matrix-exponential distributions
    • Simple statistical properties and tools
    • Inverse characterization tools
    • Representation transformation methods
    • Minimal representations
      • butools.ph.MomentsFromME
      • butools.ph.MomentsFromPH
      • butools.ph.CdfFromME
      • butools.ph.CdfFromPH
      • butools.ph.PdfFromME
      • butools.ph.PdfFromPH
      • butools.ph.IntervalPdfFromPH
      • butools.ph.RandomPH
      • butools.ph.CheckPHRepresentation
      • butools.ph.CheckMERepresentation
      • butools.ph.CheckMEPositiveDensity
      • butools.ph.SamplesFromPH
      • butools.ph.ImageFromPH
      • butools.ph.APHFrom2Moments
      • butools.ph.APHFrom3Moments
      • butools.ph.PH2From3Moments
      • butools.ph.PH3From5Moments
      • butools.ph.MEFromMoments
      • butools.ph.APH2ndMomentLowerBound
      • butools.ph.APH3rdMomentLowerBound
      • butools.ph.APH3rdMomentUpperBound
      • butools.ph.AcyclicPHFromME
      • butools.ph.CanonicalFromPH2
      • butools.ph.CanonicalFromPH3
      • butools.ph.MonocyclicPHFromME
      • butools.ph.PHFromME
      • butools.ph.MEOrder
      • butools.ph.MEOrderFromMoments
      • butools.ph.MinimalRepFromME
    • References
  • Tools for Discrete Phase-Type Distributions (butools.dph)
    • Discrete phase-type and matrix-geometric distributions
    • Simple statistical properties and tools
    • Inverse characterization tools
    • Representation transformation methods
      • butools.dph.MomentsFromMG
      • butools.dph.MomentsFromDPH
      • butools.dph.CdfFromMG
      • butools.dph.CdfFromDPH
      • butools.dph.PmfFromMG
      • butools.dph.PmfFromDPH
      • butools.dph.RandomDPH
      • butools.dph.CheckDPHRepresentation
      • butools.dph.CheckMGRepresentation
      • butools.dph.SamplesFromDPH
      • butools.dph.ImageFromDPH
      • butools.dph.DPH2From3Moments
      • butools.dph.DPH3From5Moments
      • butools.dph.MGFromMoments
      • butools.dph.AcyclicDPHFromMG
      • butools.dph.CanonicalFromDPH2
      • butools.dph.CanonicalFromDPH3
      • butools.dph.DPHFromMG
  • Tools for Markovian Arrival Processes (butools.map)
    • Markovian arrival processes and rational arrival processes
    • Simple statistical properties and tools
    • Inverse characterization tools
    • Representation transformation methods
      • butools.map.MarginalDistributionFromMAP
      • butools.map.MarginalDistributionFromRAP
      • butools.map.MarginalDistributionFromMMAP
      • butools.map.MarginalDistributionFromMRAP
      • butools.map.MarginalMomentsFromMAP
      • butools.map.MarginalMomentsFromRAP
      • butools.map.MarginalMomentsFromMMAP
      • butools.map.MarginalMomentsFromMRAP
      • butools.map.LagCorrelationsFromMAP
      • butools.map.LagCorrelationsFromRAP
      • butools.map.LagkJointMomentsFromMAP
      • butools.map.LagkJointMomentsFromRAP
      • butools.map.LagkJointMomentsFromMMAP
      • butools.map.LagkJointMomentsFromMRAP
      • butools.map.RandomMAP
      • butools.map.RandomMMAP
      • butools.map.CheckMAPRepresentation
      • butools.map.CheckRAPRepresentation
      • butools.map.CheckMMAPRepresentation
      • butools.map.CheckMRAPRepresentation
      • butools.map.SamplesFromMAP
      • butools.map.SamplesFromMMAP
      • butools.map.ImageFromMAP
      • butools.map.ImageFromMMAP
      • butools.map.RAPFromMoments
      • butools.map.MRAPFromMoments
      • butools.map.RAPFromMomentsAndCorrelations
      • butools.map.MAP2FromMoments
      • butools.map.MAP2CorrelationBounds
      • butools.map.MAPFromFewMomentsAndCorrelations
      • butools.map.CanonicalFromMAP2
      • butools.map.MAPFromRAP
      • butools.map.MMAPFromMRAP
      • butools.map.MinimalRepFromRAP
      • butools.map.MinimalRepFromMRAP
  • Tools for Discrete Markovian Arrival Processes (butools.dmap)
    • Discrete Markovian arrival processes and rational arrival processes
    • Simple statistical properties and tools
    • Inverse characterization tools
    • Representation transformation methods
      • butools.dmap.MarginalDistributionFromDMAP
      • butools.dmap.MarginalDistributionFromDRAP
      • butools.dmap.MarginalDistributionFromDMMAP
      • butools.dmap.MarginalDistributionFromDMRAP
      • butools.dmap.MarginalMomentsFromDMAP
      • butools.dmap.MarginalMomentsFromDRAP
      • butools.dmap.MarginalMomentsFromDMMAP
      • butools.dmap.MarginalMomentsFromDMRAP
      • butools.dmap.LagCorrelationsFromDMAP
      • butools.dmap.LagCorrelationsFromDRAP
      • butools.dmap.LagkJointMomentsFromDMAP
      • butools.dmap.LagkJointMomentsFromDRAP
      • butools.dmap.LagkJointMomentsFromDMMAP
      • butools.dmap.LagkJointMomentsFromDMRAP
      • butools.dmap.RandomDMAP
      • butools.dmap.RandomDMMAP
      • butools.dmap.CheckDMAPRepresentation
      • butools.dmap.CheckDRAPRepresentation
      • butools.dmap.CheckDMMAPRepresentation
      • butools.dmap.CheckDMRAPRepresentation
      • butools.dmap.SamplesFromDMAP
      • butools.dmap.SamplesFromDMMAP
      • butools.dmap.ImageFromDMAP
      • butools.dmap.ImageFromDMMAP
      • butools.dmap.DRAPFromMoments
      • butools.dmap.DMRAPFromMoments
      • butools.dmap.DMAP2FromMoments
      • butools.dmap.CanonicalFromDMAP2
      • butools.dmap.DMAPFromDRAP
      • butools.dmap.DMMAPFromDMRAP
  • Tools for the Analysis of Measurement Traces (butools.trace)
    • Analysis of measurement traces
    • Tools for the analysis of measurement traces
      • butools.trace.CdfFromTrace
      • butools.trace.CdfFromWeightedTrace
      • butools.trace.PdfFromTrace
      • butools.trace.PdfFromWeightedTrace
      • butools.trace.MarginalMomentsFromTrace
      • butools.trace.MarginalMomentsFromWeightedTrace
      • butools.trace.LagCorrelationsFromTrace
      • butools.trace.LagCorrelationsFromTrace
      • butools.trace.IATimesFromCummulative
  • Tools for fitting measurement traces (butools.fitting)
    • Overview
    • Functions for fitting
    • Functions for evaluating the results of fitting
      • butools.fitting.PHFromTrace
      • butools.fitting.MAPFromTrace
      • butools.fitting.SquaredDifference
      • butools.fitting.RelativeEntropy
      • butools.fitting.EmpiricalSquaredDifference
      • butools.fitting.EmpiricalRelativeEntropy
      • butools.fitting.LikelihoodFromTrace
  • Matrix-Analytic Methods (butools.mam)
    • Quasi Birth-Death Processes
    • M/G/1 and G/M/1 Type Markov Chains
    • Markovian Fluid Models
    • Functions to solve QBDs
    • Functions to solve M/G/1 and G/M/1 type Markov chains
    • Functions to solve Markovian fluid models
    • Refereces
      • butools.mam.QBDFundamentalMatrices
      • butools.mam.QBDSolve
      • butools.mam.QBDStationaryDistr
      • butools.mam.MG1FundamentalMatrix
      • butools.mam.MG1StationaryDistr
      • butools.mam.GM1FundamentalMatrix
      • butools.mam.GM1StationaryDistr
      • butools.mam.FluidFundamentalMatrices
      • butools.mam.FluidSolve
      • butools.mam.GeneralFluidSolve
      • butools.mam.FluidStationaryDistr
  • Tools for the Analysis of Queues (butools.queues)
    • Type of queues supported by BuTools
    • Performance measures
    • Functions for discrete queues
    • Functions for continuous queues
      • butools.queues.QBDQueue
      • butools.queues.MAPMAP1
      • butools.queues.MMAPPH1FCFS
      • butools.queues.MMAPPH1PRPR
      • butools.queues.MMAPPH1NPPR
      • butools.queues.FluidQueue
      • butools.queues.FluidQueue
      • butools.queues.FluFluQueue
      • butools.queues.FluFluQueue
 
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