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Local Asymptotic Normality and Efficient Estimation for INAR(p) Models

Local asymptotic normality and efficient estimation for INAR(p) models
Authors: Drost, F.C.; Akker, R. van den; Werker, B.J.M.;

Local Asymptotic Normality and Efficient Estimation for INAR(p) Models

Abstract

Abstract.  Integer‐valued autoregressive (INAR) processes have been introduced to model non‐negative integer‐valued phenomena that evolve in time. The distribution of an INAR(p) process is determined by two parameters: a vector of survival probabilities and a probability distribution on the non‐negative integers, called an immigration distribution. This paper provides an efficient estimator of the parameters, and in particular, shows that the INAR(p) model has the Local Asymptotic Normality property.

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Netherlands
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Keywords

Applications of statistics to actuarial sciences and financial mathematics, information loss structure., count data, count data;integer-valued time series;information loss structure, Time series, auto-correlation, regression, etc. in statistics (GARCH), integer-valued time series, count data; integer-valued time series; information loss structure, information loss structure, Asymptotic properties of parametric estimators, jel: jel:C12, jel: jel:C13, jel: jel:C19

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    28
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Top 10%
Top 10%
Average
bronze
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