Estimate a Log-Concave Probability Density from iid Observations


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Documentation for package ‘logcondens’ version 1.3.5

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logcon-package Estimate a Log-Concave Probability Density from iid Observations
activeSet Computes a Log-Concave Probability Density Estimate via an Active Set Algorithm
activeSetLogCon Computes a Log-Concave Probability Density Estimate via an Active Set Algorithm
activeSetRoutines Auxiliary Numerical Routines for the Function activeSetLogCon
brightstar Bright star dataset used to illustrate log-concave density estimation
etaphi Changes Between Parametrizations
evaluateLogConDens Evaluates the Log-Density Estimator at an Arbitrary Real Number x0
icmaLogCon Computes a Log-Concave Probability Density Estimate via an Iterative Convex Minorant Algorithm
intECDF Computes the Integrated Empirical Distribution Function at Arbitrary Real Numbers in s
intF Computes the Integral of the estimated CDF at Arbitrary Real Numbers in s
isoMean Pool-Adjacent Violaters Algorithm: Least Square Fit under Monotonicity Constraint
J00 Numerical Routine J and Some Derivatives
J10 Numerical Routine J and Some Derivatives
J11 Numerical Routine J and Some Derivatives
J20 Numerical Routine J and Some Derivatives
Jfunctions Numerical Routine J and Some Derivatives
Lhat_eta Value of the Log-Likelihood Function L, where Input is in Eta-Parametrization
LocalCoarsen Auxiliary Numerical Routines for the Function activeSetLogCon
LocalConvexity Auxiliary Numerical Routines for the Function activeSetLogCon
LocalExtend Auxiliary Numerical Routines for the Function activeSetLogCon
LocalF Auxiliary Numerical Routines for the Function activeSetLogCon
LocalMLE Auxiliary Numerical Routines for the Function activeSetLogCon
LocalNormalize Auxiliary Numerical Routines for the Function activeSetLogCon
Local_LL Value of the Log-Likelihood Function L, where Input is in Phi-Parametrization
Local_LL_all Log-likelihood, New Candidate and Directional Derivative for L
log-concave Computes a Log-Concave Probability Density Estimate via an Active Set Algorithm
logcon Estimate a Log-Concave Probability Density from iid Observations
logcondens Computes a Log-Concave Probability Density Estimate via an Active Set Algorithm
logconSmoothed Compute convolution of log-concave density estimator with a normal kernel
MLE Unconstrained piecewise linear MLE
phieta Changes Between Parametrizations
qloglin Quantile Function In a Simple Log-Linear model
quadDeriv Gradient and Diagonal of Hesse Matrix of Quadratic Approximation to Log-Likelihood Function L
quantilesLogConDens Function to compute p0-Quantile of Fhat
reliability Reliability dataset used to illustrate log-concave density estimation
reparametrizations Changes Between Parametrizations
rlogcon Generate random sample from the log-concave and the smoothed log-concave density estimator
robust Robustification and Hermite Interpolation for ICMA