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A probability measure which has Markov property |
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| Authors: | Z Kobayashi T Kuzumaki T Okada T Sekiguchi Y Shiota |
| Institution: | 1. Faculty of Liberal Arts and Sciences, Tohoku Gakuin University, Sendai, 981-3193, Japan 2. Department of Mathematical and Design Engineering, Faculty of Engineering, Gifu University, Gifu, 500-1193, Japan 3. Department of Mathematics, Fukushima Medical University, Fukushima, 960-1295, Japan |
| Abstract: | We define a probability measure which has Markov property on the unit interval, compute a higher order partial derivative of its distribution function about the parameter. As application, we obtain explicit formulas of a digital sum of the block of the binary number. |
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