This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of
Statistics in Transition New Series , ISSUE 1, 61–74
In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the ﬁnite sample
Statistics in Transition New Series , ISSUE 2, 13–34
derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The 𝑇𝐾𝑤 distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.
Muhammad Shuaib Khan,
Irene Lena Hudson
Statistics in Transition New Series , ISSUE 2, 183–210
In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a
G. G. Hademani
Statistics in Transition New Series , ISSUE 4, 621–643
Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the length-biased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its ﬂexibility in terms of its location, scale and shape parameters.
Statistics in Transition New Series , ISSUE 2, 89–117
for maximum likelihood estimates of required parameters are also given.
Statistics in Transition New Series , ISSUE 1, 75–85
A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a
Kamlesh Kumar Shukla,
Statistics in Transition New Series , ISSUE 1, 135–148
This is a simple but provocative note. Consider an election with two candidates and suppose that candidate A was the leader until counting n votes. How to use this information in predicting the final results of the election? According to the common belief the final number of votes for the leader should be a strictly increasing function of n. Assuming the votes are counted in random order we derive the Maximum Likelihood predictor of the final number of votes for the future winner and loser
Statistics in Transition New Series , ISSUE 2, 351–357
proposed RSS-based Bayes estimator is compared with that of the corresponding classical version estimator based on maximum likelihood principle. The proposed procedure is used to estimate measles vaccination coverage probability among the children of age group 12-23 months in India using the real-life epidemiological data from National Family Health Survey-III.
Dilip C. Nath
Statistics in Transition New Series , ISSUE 4, 589–608
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the
Mansoor Rashid Malik,
Statistics in Transition New Series , ISSUE 3, 57–79
of dispersion have been derived and discussed. The reliability properties, including hazard rate function and mean residual life function, have been discussed. The estimation of its parameters has been discussed using the maximum likelihood method and the applications of the distribution have been explained through some survival time data of a group of patients suffering from head and neck cancer, and the fit has been compared with a one-parameter Lindley distribution and a two-parameter weighted
Kamlesh Kumar Shukla,
Statistics in Transition New Series , ISSUE 2, 291–310
application of iterated filtering for parameter estimation of such models. Iterated filtering is a method for maximum likelihood inference based on a series of filtering operations, which provide a sequence of parameter estimates that converges to the maximum likelihood estimate. An application to S&P500 index data shows the model perform well and diagnostic plots for iterated filtering ensure convergence iterated filtering to maximum likelihood estimates. Empirical application is
Statistics in Transition New Series , ISSUE 2, 173–187
, we developed a linear Cholesky decomposition of the random effects covariance matrix, providing a framework for inference that accounts for correlations induced by covariate(s) shared by both ﬁxed and random effects design matrices, a circumstance leading to lack of independence between random errors and random effects. The proposed decomposition is particularly useful in parameter estimation using the maximum likelihood and restricted/residual maximum likelihood procedures.
D. K. Shangodoyin,
Statistics in Transition New Series , ISSUE 4, 59–70
In this paper, we introduce a new Lindley Pareto distribution, which offers a more flexible model for modelling lifetime data. Some of its mathematical properties like density function, cumulative distribution, mode, mean, variance, and Shannon entropy are established. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the unknown parameters. Three real data sets are fitted to illustrate the importance and the flexibility of the
Statistics in Transition New Series , ISSUE 4, 671–692
THI ANH DUONG NGUYEN,
Journal of Nematology , ISSUE 2, 95–103
Journal of Nematology , ISSUE 3, 286–294
individuals created by the age of the insured. For the premium estimation, one of the maximum likelihood models, called the Bűhlmann-Straub model, was used.
Statistics in Transition New Series , ISSUE 1, 151–165
alignment based on the Akaike information criterion corrected for small sample sizes (Posada, 2008). Maximum likelihood (ML) and Bayesian inference (BI) were used to estimate phylogenies for the D2-D3 and COI regions. For ML, 250 bootstraps were used and the general time reversible model with allowance for a gamma distribution of rate variation (GTR + Γ) in RaxML v8 (Stamatakis, 2014). Inferred phylogenies by BI (MrBayes v3.2.6, Ronquist et al., 2012), used the general time reversible model with
Ana Teresa Mosquera-Espinosa,
Francia Varón De Agudelo,
Claudio Marcelo Gonçalves de Oliveira,
Jaime Eduardo Muñoz-Flórez
Journal of Nematology , 1–13
Journal of Nematology , ISSUE 2, 207–218
Based on one parameter exponential record data, we conduct statistical inferences (maximum likelihood estimator and Bayesian estimator) for the suggested model parameter. Our second aim is to predict the future (unobserved) records and to construct their corresponding prediction intervals based on observed set of records. In the estimation and prediction processes, we consider the square error loss and the Kullback-Leibler loss functions. Numerical simulations were conducted to evaluate the
Raed r. . Abu Awwad
Statistics in Transition New Series , ISSUE 2, 1–14
Statistics in Transition New Series , ISSUE 3, 495–506
, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.
Statistics in Transition New Series , ISSUE 3, 391–410
In the nematode family Criconematidae, a taxonomy primarily based on cuticle characters has created classifications that are notoriously volatile. Molecular characters may lead to their stabilization. A phylogenetic tree of Criconematoidea was constructed using 166 new near full-length 18S rDNA sequences and 58 sequences from GenBank. Bayesian and maximum likelihood (ML) analyses produced trees with similar topologies. Major features include a strongly supported clade that includes
Journal of Nematology , ISSUE 3, 236–244
juveniles, males and females were carried out by light compound and scanning electron microscopy. Gross morphology and measurements were found consistent with the original description of M. indica infecting citrus by Whitehead (1968). The neem population was found to infect and reproduce on citrus. Additionally, evolutionary relationship was deduced by Maximum likelihood method using ITS rRNA, D2D3 expansion segment of 28S rRNA and mitochondrial COI sequences. Phylogenetic analyses based on these
Keith G. Davies,
Journal of Nematology , ISSUE 3, 387–398
DNA barcoding with a new cytochrome oxidase c subunit 1 primer set generated a 721 to 724 bp fragment used for the identification of 322 Meloidogyne specimens, including 205 new sequences combined with 117 from GenBank. A maximum likelihood analysis grouped the specimens into 19 well-supported clades and four single-specimen lineages. The “major” tropical apomictic species (Meloidogyne arenaria, Meloidogyne incognita, Meloidogyne javanica) were not discriminated by this barcode although some
Journal of Nematology , ISSUE 3, 399–412
rule consensus tree.
ITS1 and COI phylogenetic trees were constructed under maximum likelihood (ML) criteria in MEGA version 6. Sequences were edited using CodonCode Aligner version 8.0.1 (http://www.codoncode.com/) and aligned using MUSCLE within MEGA version 6 (Tamura et al., 2013). The gap opening penalty was set at −400 with a gap extension penalty of −200. For the COI tree, the General Time Reversible Model with Gamma distributed rates with Invariant sites (GTR + G + I) was determined to be
Journal of Nematology , 1–17
invariant sites and a gamma distribution was the best fit substitution model for this data based on Bayesian information criterion. An evolutionary history was inferred based on this model using the maximum likelihood (ML) method and a consensus tree was generated using 1,000 bootstrapping replicates in MEGA. The Bayesian inference (BI) analysis was prepared in BEAUti v. 2.6.0 (Bouckaert et al., 2019) and performed in BEAST2 v. 2.6.0 (Bouckaert et al., 2019). The analysis used the HKY substitution model
Malorri R. Hughes,
Deborah A. Duffield,
Dana K. Howe,
Dee R. Denver
Journal of Nematology , 1–6
duct, offset spermatheca filled with small spheroid sperm cells, 106 to 127 µm long elongate-conoid tail with filiform distal region and finely rounded tip. Molecular phylogenetic analyses were performed using a near-full length fragment of the 18S rDNA and the D2–D3 expansion segments of the 28S rDNA using Bayesian inference and maximum likelihood methods. In the inferred phylogenetic tree with 18S rDNA, the new species has a close affinity with several isolates of the type species, Labrys
Robin M. Giblin-Davis,
Farahnaz Jahanshahi Afshar,
Journal of Nematology , ISSUE 3, 343–354
distribution (G) and proportion of invariable sites (I). The substitution model (GTR + G + I) was used for maximum-likelihood analysis with 200 bootstrap replications using software MEGA 7 and for Bayesian inference analysis (BI) using the software MrBayes 3.1.2 (Huelsenbeck and Ronquist, 2001). The COI haplotype data set was reduced by removal of redundant sequences using software Jalview.2.10 (Waterhouse et al., 2009).
Molecular species delimitation was assessed using
Journal of Nematology , 1–21
by Genewiz Inc. (South Plainfield, NJ). Sequence editing, assembly, and analysis were performed using the integrated sequence analysis package, Genious 9.0.2 (Kearse et al., 2012) with the MAFFT aligner being used to generate multiple sequence alignments. Maximum likelihood phylogenetic trees were generated using Mega 6.06 with default parameters and 500× bootstrapping (Tamura et al., 2013).
Primers used to compare M. aegracyperi n. sp. with its closest relatives.
J. D. Eisenback,
L. A. Holland,
S. H. Thomas,
J. M. Beacham,
S. F. Hanson,
V. S. Paes-Takahashi,
journal of nematology , 1–16