1
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Multiple combined gamma kernel estimations for nonnegative data with Bayesian adaptive bandwidths. Comput Stat 2023. [DOI: 10.1007/s00180-023-01327-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/25/2023]
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2
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Ouimet F. A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications. J MULTIVARIATE ANAL 2022. [DOI: 10.1016/j.jmva.2021.104923] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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3
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Harfouche L, Zougab N, Adjabi S, Funke B. Discrete multivariate associated kernel estimators using two multiplicative bias correction methods. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2019.1653912] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- L. Harfouche
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
| | - N. Zougab
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
| | - S. Adjabi
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
| | - B. Funke
- Department of Mathematics, Technical University of Dortmund, Dortmund, Germany
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4
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5
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Multivariate elliptical-based Birnbaum–Saunders kernel density estimation for nonnegative data. J MULTIVARIATE ANAL 2022. [DOI: 10.1016/j.jmva.2021.104834] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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6
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Makhloufi S, Zougab N, Ziane Y, Adjabi S. A family of asymmetric kernels based on log-symmetric distributions. COMMUN STAT-SIMUL C 2021. [DOI: 10.1080/03610918.2021.2020289] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- S. Makhloufi
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
- Operational Research Department, Faculty of Exact Sciences, University of Bejaia, Bejaia, Algeria
| | - N. Zougab
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
- Department of Electrical Engineering, Faculty of Technology, University of Bejaia, Bejaia, Algeria
| | - Y. Ziane
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
| | - S. Adjabi
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
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7
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Kakizawa Y. A class of Birnbaum–Saunders type kernel density estimators for nonnegative data. Comput Stat Data Anal 2021. [DOI: 10.1016/j.csda.2021.107249] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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8
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Bayesian Bandwidths in Semiparametric Modelling for Nonnegative Orthant Data with Diagnostics. STATS 2021. [DOI: 10.3390/stats4010013] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
Multivariate nonnegative orthant data are real vectors bounded to the left by the null vector, and they can be continuous, discrete or mixed. We first review the recent relative variability indexes for multivariate nonnegative continuous and count distributions. As a prelude, the classification of two comparable distributions having the same mean vector is done through under-, equi- and over-variability with respect to the reference distribution. Multivariate associated kernel estimators are then reviewed with new proposals that can accommodate any nonnegative orthant dataset. We focus on bandwidth matrix selections by adaptive and local Bayesian methods for semicontinuous and counting supports, respectively. We finally introduce a flexible semiparametric approach for estimating all these distributions on nonnegative supports. The corresponding estimator is directed by a given parametric part, and a nonparametric part which is a weight function to be estimated through multivariate associated kernels. A diagnostic model is also discussed to make an appropriate choice between the parametric, semiparametric and nonparametric approaches. The retention of pure nonparametric means the inconvenience of parametric part used in the modelization. Multivariate real data examples in semicontinuous setup as reliability are gradually considered to illustrate the proposed approach. Concluding remarks are made for extension to other multiple functions.
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9
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Somé SM, Kokonendji CC. Bayesian selector of adaptive bandwidth for multivariate gamma kernel estimator on [0,∞ )d. J Appl Stat 2021; 49:1692-1713. [DOI: 10.1080/02664763.2021.1881456] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Sobom M. Somé
- Laboratoire Sciences et Techniques, Université Thomas SANKARA, Ouagadougou, Burkina Faso
- Laboratoire d'Analyse Numérique Informatique et de BIOmathématique, Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso
| | - Célestin C. Kokonendji
- Laboratoire de Mathématiques de Besançon UMR 6623 CNRS-UFC, Université Bourgogne Franche-Comté, Besançon cedex, France
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10
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Kakizawa Y. Multivariate non-central Birnbaum–Saunders kernel density estimator for nonnegative data. J Stat Plan Inference 2020. [DOI: 10.1016/j.jspi.2020.03.009] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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11
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12
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Somé SM. Bayesian selector of adaptive bandwidth for gamma kernel density estimator on [0,∞): simulations and applications. COMMUN STAT-SIMUL C 2020. [DOI: 10.1080/03610918.2020.1828921] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Sobom M. Somé
- Laboratoire Sciences et Techniques, Université Ouaga 2, Ouagadougou, Burkina Faso
- LANIBIO, Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso
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13
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Igarashi G, Kakizawa Y. Higher-order bias corrections for kernel type density estimators on the unit or semi-infinite interval. J Nonparametr Stat 2020. [DOI: 10.1080/10485252.2020.1770754] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Gaku Igarashi
- Department of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan
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14
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15
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Bedouhene K, Zougab N. Nonparametric multiplicative bias correction for von Mises kernel circular density estimator. COMMUN STAT-SIMUL C 2019. [DOI: 10.1080/03610918.2019.1659358] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Kahina Bedouhene
- Department of Mathematics, University of Tizi-Ouzou, Tizi Ouzou, Algeria
| | - Nabil Zougab
- Department of Technology, University of Bejaia, Bejaia, Algeria
- Research Unit LaMOS, University of Bejaia, Bejaia, Algeria
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16
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Hirukawa M, Sakudo M. Another bias correction for asymmetric kernel density estimation with a parametric start. Stat Probab Lett 2019. [DOI: 10.1016/j.spl.2018.09.002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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17
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Geenens G, Wang C. Local-Likelihood Transformation Kernel Density Estimation for Positive Random Variables. J Comput Graph Stat 2018. [DOI: 10.1080/10618600.2018.1424636] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Gery Geenens
- School of Mathematics and Statistics, UNSW Sydney, Sydney, Australia
| | - Craig Wang
- Institut für Mathematik, Universität Zürich, Zürich, Switzerland
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18
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Harfouche L, Adjabi S, Zougab N, Funke B. Multiplicative bias correction for discrete kernels. STAT METHOD APPL-GER 2018. [DOI: 10.1007/s10260-017-0395-x] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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19
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Igarashi G, Kakizawa Y. Generalised gamma kernel density estimation for nonnegative data and its bias reduction. J Nonparametr Stat 2018. [DOI: 10.1080/10485252.2018.1457791] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Gaku Igarashi
- Division of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Japan
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20
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Zougab N, Harfouche L, Ziane Y, Adjabi S. Multivariate generalized Birnbaum—Saunders kernel density estimators. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2017.1377252] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- N. Zougab
- Research Unit LaMOS, Department of Operational Research, Bejaia, University of Bejaia, Algeria
| | - L. Harfouche
- Research Unit LaMOS, Department of Operational Research, Bejaia, University of Bejaia, Algeria
| | - Y. Ziane
- Research Unit LaMOS, Department of Operational Research, Bejaia, University of Bejaia, Algeria
| | - S. Adjabi
- Research Unit LaMOS, Department of Operational Research, Bejaia, University of Bejaia, Algeria
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21
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Igarashi G, Kakizawa Y. Limiting bias-reduced Amoroso kernel density estimators for non-negative data. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2017.1380832] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Gaku Igarashi
- Division of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan
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22
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23
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Funke B, Kawka R. Nonparametric density estimation for multivariate bounded data using two non-negative multiplicative bias correction methods. Comput Stat Data Anal 2015. [DOI: 10.1016/j.csda.2015.07.006] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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