A S4 class is used to present the data, model specification, and maximum empirical likelihood (EL) estimation results under one-inflated count regression models.
model
character specification of "zt"
(zero-truncated model without one-inflation), "ztoi"
(zero-truncated one-inflated model), or "oizt"
(one-inflated zero-truncated model).
dist
character specification of count regression model family, "poisson"
or "binomial"
.
N
number representing the maximum EL estimate of abundance N.
ci
vector representing the EL ratio confidence interval of abundance.
beta
vector representing the maximum EL estimate of regression coefficients in count regression model.
eta
vector representing the maximum EL estimate of regression coefficients in logistic regression model for one-inflation.
alpha
number representing the maximum EL estimate of the probability of never being captured.
loglikelihood
number representing the log-EL value.
AIC
number representing the Akaike Information Criterion value.
prob
vector representing the probability masses of individual covariates.
nit
number representing the number of iterations of EM algorithm.
pars_trace
matrix. Row shows the value of parameters in each iteration of EM algorithm.
loglikelihood_trace
vector. Element represents the value of log-likelihood in each iteration of EM algorithm.
y
vector specifying the number of times that individuals were captured.
K
number specifying the number of capture occasions.
x
matrix specifying the individual covariates in count regression model.
z
matrix specifying the individual covariates in one-inflated regression model.
epsilon
positive convergence tolerance ε. The iterations converge in EM algorithm when the increase of the log-EL is less than ε.
maxN
number specifying the largest searching value for N in EM algorithm.
maxN_ci
number specifying the largest searching value for calculating the confidence interval of N.
level
number specifying the nominal level of confidence interval of N.
maxit
integer specifying the maximal number of iterations in EM algorithm.
start_beta
vector specifying the starting value of the coefficient β in count regression model in EM algorithm.
start_eta
vector specifying the starting value of the coefficient η in one-inflated regression model in EM algorithm.
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