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Original Articles

SINGULAR ELLIPTICAL DISTRIBUTION: DENSITY AND APPLICATIONS

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Pages 665-681 | Published online: 15 Feb 2007

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Michelli Barros, Manuel Galea, Víctor Leiva & Manoel Santos-Neto. (2018) Generalized Tobit models: diagnostics and application in econometrics. Journal of Applied Statistics 45:1, pages 145-167.
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M. Arashi & S. Nadarajah. (2017) On singular elliptical models. Communications in Statistics - Theory and Methods 46:1, pages 247-258.
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Víctor Leiva, Shuangzhe Liu, Lei Shi & Francisco José A. Cysneiros. (2016) Diagnostics in elliptical regression models with stochastic restrictions applied to econometrics. Journal of Applied Statistics 43:4, pages 627-642.
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José A. Díaz-García, José E. Rodríguez & Rogelio Ramos-Quiroga. (2014) Asymptotic Normality of the Optimal Solution in Response Surface Methodology. Journal of Statistical Theory and Practice 8:2, pages 166-175.
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M. Akahira, N. Ohyauchi & S. Kawai. (2013) A Higher Order Approximation to a Percentage Point of the Distribution of a Noncentral t-Statistic Without the Normality Assumption. Communications in Statistics - Simulation and Computation 42:9, pages 2086-2105.
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Saralees Nadarajah. (2012) The Kotz type ratio distribution. Statistics 46:2, pages 167-174.
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JoséA. Díaz-García & J. Fernando Vera. (2011) Multivariate Three-Parameter Log-Elliptical Distributions. Communications in Statistics - Theory and Methods 40:11, pages 1964-1976.
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Marco Riquelme, Víctor Leiva, Manuel Galea & Antonio Sanhueza. (2011) Influence diagnostics on the coefficient of variation of elliptically contoured distributions. Journal of Applied Statistics 38:3, pages 513-532.
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Víctor Leiva, Antonio Sanhueza, Pranab K. Sen & Gilberto A. Paula. (2008) Random number generators for the generalized Birnbaum–Saunders distribution. Journal of Statistical Computation and Simulation 78:11, pages 1105-1118.
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Filidor Vilca-Labra & Víctor Leiva-Sánchez. (2006) A New Fatigue Life Model Based on the Family of Skew-Elliptical Distributions. Communications in Statistics - Theory and Methods 35:2, pages 229-244.
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Saralees Nadarajah. (2003) The Kotz-type distribution with applications. Statistics 37:4, pages 341-358.
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José A. Díaz-García, Manuel Galea Rojas & Víctor Leiva-Sánchez. (2003) Influence Diagnostics for Elliptical Multivariate Linear Regression Models. Communications in Statistics - Theory and Methods 32:3, pages 625-641.
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José A. Díaz-García & Víctor Leiva-Sánchez. (2003) Doubly Non-central and Distributions Obtained Under Singular and Non-singular Elliptic Distributions. Communications in Statistics - Theory and Methods 32:1, pages 11-32.
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Articles from other publishers (10)

Danilo Leal, Rodrigo Jiménez, Marco Riquelme & Víctor Leiva. (2023) Elliptical Capital Asset Pricing Models: Formulation, Diagnostics, Case Study with Chilean Data, and Economic Rationale. Mathematics 11:6, pages 1394.
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Helton Saulo, Roberto Vila, Shayane S. Cordeiro & Víctor Leiva. (2023) Bivariate symmetric Heckman models and their characterization. Journal of Multivariate Analysis 193, pages 105097.
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Luis Sánchez, Víctor Leiva, Manuel Galea & Helton Saulo. (2020) Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data. Mathematics 8:6, pages 1000.
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Francisco J. A. Cysneiros, Víctor Leiva, Shuangzhe Liu, Carolina Marchant & Paulo Scalco. (2019) A Cobb–Douglas type model with stochastic restrictions: formulation, local influence diagnostics and data analytics in economics. Quality & Quantity 53:4, pages 1693-1719.
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Tomer Shushi. (2018) A proof for the existence of multivariate singular generalized skew-elliptical density functions. Statistics & Probability Letters 141, pages 50-55.
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Víctor Leiva & Carolina Marchant. 2018. Recent Studies on Risk Analysis and Statistical Modeling. Recent Studies on Risk Analysis and Statistical Modeling 299 320 .
Luis Sánchez, Víctor Leiva, Francisco J. Caro-Lopera & Francisco José A. Cysneiros. (2015) On matrix-variate Birnbaum–Saunders distributions and their estimation and application. Brazilian Journal of Probability and Statistics 29:4.
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M. Arashi, B. M. Golam Kibria & A. Tajadod. (2014) On shrinkage estimators in matrix variate elliptical models. Metrika 78:1, pages 29-44.
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Francisco J. Caro-Lopera, Víctor Leiva & N. Balakrishnan. (2012) Connection between the Hadamard and matrix products with an application to matrix-variate Birnbaum–Saunders distributions. Journal of Multivariate Analysis 104:1, pages 126-139.
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José A. Dı́az-Garcı́a & Vı́ctor Leiva-Sánchez. (2005) A new family of life distributions based on the elliptically contoured distributions. Journal of Statistical Planning and Inference 128:2, pages 445-457.
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