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- W1972849530 abstract "We study the increase in statistical information obtained by adding independent observations, as measured by the LeCam-deficiencyδ. The main object of our study is the case where the observations follow a 1-parameter exponential law. We show that when the parameter set is a compact, non-degenerate interval andr is a fixed integer, then$$sqrt {{2 mathord{left/ {vphantom {2 {pi e}}} right. kern-nulldelimiterspace} {pi e}}} leqq {text{liminf}}frac{n}{r}delta (mathcal{E}^n ,mathcal{E}^{n + r} ) leqq {text{limsup}}frac{n}{r}delta (mathcal{E}^n ,mathcal{E}^{n + r} ) leqq 2sqrt {{2 mathord{left/ {vphantom {2 {pi e}}} right. kern-nulldelimiterspace} {pi e}}}$$where δ(ℰn, ℰn+r) is the deficiency ofℰn with respect toℰn+r, andℰn is the experiment consisting in takingn independent observations fromℰ." @default.
- W1972849530 created "2016-06-24" @default.
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- W1972849530 date "1982-01-01" @default.
- W1972849530 modified "2023-09-24" @default.
- W1972849530 title "Additional observations and statistical information in the case of 1-parameter exponential distributions" @default.
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- W1972849530 doi "https://doi.org/10.1007/bf00575527" @default.
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