Geodesic
Second order asymptotic distribution of the $R_\phi$-divergence goodness-of-fit statistics
Kybernetika, Tome 36 (2000) no. 4, p. [437]

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The distribution of each member of the family of statistics based on the $R_{\phi }$-divergence for testing goodness-of-fit is a chi-squared to $o(1)$ (Pardo [pard96]). In this paper a closer approximation to the exact distribution is obtained by extracting the $\phi $-dependent second order component from the $o(1)$ term.
Classification : 62B10, 62E17, 62E20, 62G10 
@article{KYB_2000__36_4_a3,
     author = {Pardo, Mar{\'\i}a Carmen},
     title = {Second order asymptotic distribution of the $R_\phi$-divergence goodness-of-fit statistics},
     journal = {Kybernetika},
     pages = {[437]},
     publisher = {mathdoc},
     volume = {36},
     number = {4},
     year = {2000},
     mrnumber = {1830648},
     zbl = {1245.62046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2000__36_4_a3/}
}
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Pardo, María Carmen. Second order asymptotic distribution of the $R_\phi$-divergence goodness-of-fit statistics. Kybernetika, Tome 36 (2000) no. 4, p. [437]. http://geodesic.mathdoc.fr/item/KYB_2000__36_4_a3/