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Multiple modes in densities with normal conditionals

Author

Listed:
  • Arnold, Barry C.
  • Castillo, Enrique
  • Sarabia, José María
  • González-Vega, Laureano

Abstract

Distributions with normal conditionals have biquadratic regression functions. Consequently, in contrast to classical bivariate normal distributions, their densities can be multimodal. Criteria for determining the number of modes are discussed and illustrations of representative multimodal densities are provided.

Suggested Citation

  • Arnold, Barry C. & Castillo, Enrique & Sarabia, José María & González-Vega, Laureano, 2000. "Multiple modes in densities with normal conditionals," Statistics & Probability Letters, Elsevier, vol. 49(4), pages 355-363, October.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:4:p:355-363
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    References listed on IDEAS

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    1. E. Castillo & J. Galambos, 1989. "Conditional distributions and the bivariate normal distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 36(1), pages 209-214, December.
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    1. Arnold, Barry C. & Sarabia, José María, 2022. "Conditional specification of statistical models: Classical models, new developments and challenges," Journal of Multivariate Analysis, Elsevier, vol. 188(C).

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