Description Usage Arguments Details Value Author(s) References Examples

The (S3) generic function `kern.fun`

computes the value of the associated kernel function.
Its default method does so with a given kernel
and bandwidth *h*.

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`x` |
The target |

`t` |
A single value or the grid where the discrete associated kernel function is computed. |

`h` |
The bandwidth or smoothing parameter. |

`type_data` |
The sample data type |

`ker` |
The associated kernel: "dirDU" DiracDU,"bino" Binomial, "triang" Discrete Triangular kernel, "BE" extended beta, "GA" gamma, "LN" lognormal and "RIG" reciprocal inverse Gaussian. |

`a0` |
The left bound of the support used for extended beta kernel. Default value is 0 for beta kernel. |

`a1` |
The right bound of the support used for extended beta kernel. Default value is 0 for beta kernel. |

`a` |
The arm in Discrete Triangular kernel. The default value is 1. |

`c` |
The number of categories in DiracDU kernel. The default value is 2. |

`...` |
Further arguments |

The associated kernel is one of the those which have been defined in the sections above : extended beta, gamma,lognormal, reciprocal inverse Gaussian, DiracDU, Binomial and Discrete Triangular; see Kokonendji and Senga Kiessé (2011), and also Kokonendji et al. (2007).

Returns the value of the discrete associated kernel function at `t`

according to the target and the bandwidth.

W. E. Wansouwé, S. M. Somé and C. C. Kokonendji

Kokonendji, C.C. and Senga Kiessé, T. (2011). Discrete associated kernel method and extensions,
* Statistical Methodology* **8**, 497 - 516.

Kokonendji, C.C., Senga Kiessé, T. and Zocchi, S.S. (2007). Discrete triangular distributions and non-parametric estimation for
probability mass function,
* Journal of Nonparametric Statistics * **19**, 241 - 254.

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