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LaMa - Latent Markov model toolbox

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Install

install.packages('LaMa')

Monthly Downloads

388

Version

2.1.3

License

MIT + file LICENSE

Maintainer

Jan-Ole Fischer

Last Published

August 25th, 2026

Functions in LaMa (2.1.3)

generator_g

Build generator matrices of a continuous-time Markov chain
forward_p

Forward algorithm with for periodically varying transition probability matrices
generator

Build the generator matrix of a continuous-time Markov chain
gdeterminant

Computes generalised determinant
forward_phsmm

Forward algorithm for hidden semi-Markov models with periodically inhomogeneous state durations and/ or conditional transition probabilities
%sp%

Sparsity-retaining matrix multiplication
gamma2

Reparametrised gamma distribution
forward_sp

Forward algorithm for hidden semi-Markov models with periodically varying transition probability matrices
forward_ihsmm

Forward algorithm for hidden semi-Markov models with inhomogeneous state durations and/ or conditional transition probabilities
forward_s

Forward algorithm for hidden semi-Markov models with homogeneous transition probability matrix
minmax

AD-compatible minimum and maximum functions
make_matrices

Build the design and the penalty matrix for models involving penalised splines based on a formula and a data set
penalty

Computes penalty based on quadratic form
penalty2

Computes generalised quadratic-form penalties
logLik.qremlModel

Extract log-likelihood from qremlModel object
nessi

Loch Ness Monster Acceleration Data
minmax0_smooth

Smooth approximations to max(x, 0) and min(x, 0)
make_matrices_old

Build the design and the penalty matrix for models involving penalised splines based on a formula and a data set
make_matrices_dens

Build a standardised P-Spline design matrix and the associated P-Spline penalty matrix
logLik.LaMaModel

Extract log-likelihood from LaMaModel object
pseudo_res

Calculate pseudo-residuals
plot.LaMaResiduals

Plot pseudo-residuals
qreml

Quasi restricted maximum likelihood (qREML) algorithm for models with penalised splines or simple i.i.d. random effects
penalty_uni

Penalty approximation of unimodality constraints for univariates smooths
report

Get reported quantities from and RTMB object and return a LaMaModel
process_hid_formulas

Process and standardise formulas for the state process of hidden Markov models
sdreportMC

Monte Carlo version of sdreport
qreml_old

Quasi restricted maximum likelihood (qREML) algorithm for models with penalised splines or simple i.i.d. random effects
predict.LaMa_matrices

Build the prediction design matrix based on new data and model_matrices object created by make_matrices
pred_matrix

Build the prediction design matrix based on new data and model_matrices object created by make_matrices
skewnorm

Skew normal distribution
smooth_dens_construct

Build the design and penalty matrices for smooth density estimation
stationary

Compute the stationary distribution of a homogeneous Markov chain
sdreport_outer

Report uncertainty of the estimated smoothing parameters or variances
stateprobs_g

Calculate conditional local state probabilities for inhomogeneous HMMs
stationary_p_sparse

Sparse version of stationary_p
stateprobs

Calculate conditional local state probabilities in HMMs
stateprobs_p

Calculate conditional local state probabilities for periodically inhomogeneous HMMs
stationary_p

Periodically stationary distribution of a periodically inhomogeneous Markov chain
stationary_ct

Compute the stationary distribution of a continuous-time Markov chain
tpm_hsmm

Builds the transition probability matrix of an HSMM-approximating HMM
tpm_hsmm2

Build the transition probability matrix of an HSMM-approximating HMM
tpm_g

Build all transition probability matrices of an inhomogeneous HMM
tpm_g2

Build all transition probability matrices of an inhomogeneous HMM
tpm

Build the transition probability matrix from unconstrained parameter vector
tpm_emb

Build the embedded transition probability matrix of an HSMM from unconstrained parameter vector
summary.qremlModel

Summary method for qremlModel objects
tpm_ct

Calculate continuous time transition probabilities
stationary_sparse

Sparse version of stationary
tpm_emb_g

Build all embedded transition probability matrices of an inhomogeneous HSMM
trex

T-Rex Movement Data
tpm_phsmm

Builds all transition probability matrices of an periodic-HSMM-approximating HMM
tpm_thinned

Compute the transition probability matrix of a thinned periodically inhomogeneous Markov chain.
trigBasisExp

Compute the design matrix for a trigonometric basis expansion
tpm_phsmm2

Build all transition probability matrices of an periodic-HSMM-approximating HMM
tpm_p

Build all transition probability matrices of a periodically inhomogeneous HMM
tpm_ihsmm

Builds all transition probability matrices of an inhomogeneous-HSMM-approximating HMM
viterbi

Viterbi algorithm for state decoding in HMMs
viterbi_p

Viterbi algorithm for state decoding in periodically inhomogeneous HMMs
viterbi_g

Viterbi algorithm for state decoding in inhomogeneous HMMs
zero_inflate

Zero-inflated density constructer
vm

Von Mises distribution
wrpcauchy

Wrapped Cauchy distribution
dgmrf2

Reparametrised multivariate Gaussian distribution
LaMaColors

Generate a colour-blind-friendly palette
MCreport

Sample parameters from approximate Gaussian posterior distribution
calc_trackInd

Calculate the index of the first observation of each track based on an ID variable
cosinor

Trigonometric basis expansion
forward

Forward algorithm to calculate the HMM log-likelihood
ddwell

State dwell-time distributions of periodically inhomogeneous Markov chains
forward_hsmm

Forward algorithm for homogeneous hidden semi-Markov models
LaMa-package

LaMa: Fast Numerical Maximum Likelihood Estimation for Latent Markov Models
forward_g

Forward algorithm with time-varying transition probability matrix