Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Compound Class of Linear Failure Rate-Power Series Distributions:
  Model, Properties and Applications   We introduce in this paper a new class of distributions which generalizes the
linear failure rate (LFR) distribution and is obtained by compounding the LFR
distribution and power series (PS) class of distributions. This new class of
distributions is called the linear failure rate-power series (LFRPS)
distributions and contains some new distributions such as linear failure rate
geometric (LFRG) distribution, linear failure rate Poisson (LFRP) distribution,
linear failure rate logarithmic (LFRL) distribution, linear failure rate
binomial (LFRB) distribution and Raylight-power series (RPS) class of
distributions. Some former works such as exponential-power series (EPS) class
of distributions, exponential geometric (EG) distribution, exponential Poisson
(EP) distribution and exponential logarithmic (EL) distribution are special
cases of the new proposed model.
  The ability of the LFRPS class of distributions is in covering five possible
hazard rate function i.e., increasing, decreasing, upside-down bathtub
(unimodal), bathtub and increasing-decreasing-increasing shaped. Several
properties of the LFRPS distributions such as moments, maximum likelihood
estimation procedure via an EM-algorithm and inference for a large sample, are
discussed in this paper. In order to show the flexibility and potentiality of
the new class of distributions, the fitted results of the new class of
distributions and some its submodels are compared using a real data set.

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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat