About "On certain incomplete statistics" by Lima et al

preprint2004arXivOpen access

Abstract

Lima et al recently claim that ({\em Chaos, Solitons $&$ Fractals,} 2004;19:1005)the entropy for the incomplete statistics based on the normalization∑ipiq=1\sum_ip_i^q=1 should be S=−∑ipi2q−1ln⁡qpiS=-\sum_ip_i^{2q-1}\ln_qp_i instead ofS=−∑ipiqln⁡qpiS=-\sum_ip_i^{q}\ln_qp_i initially proposed by Wang. We indicate here that thisconclusion is a result of erroneous use of temperature definition for the incompletestatistics.

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