Research Article
Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application
Table 1
Mean and variance of the empirical residual extropy of concomitants of order statistics,
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| | | distribution | distribution | The first estimator | The second estimator | The first estimator | The second estimator | | | | | | | | |
| 10 | 3 | −0.1042 | 0.0019 | −0.1043 | 0.0013 | −0.1704 | 0.0047 | −0.2009 | 0.0057 | 5 | −0.1241 | 0.0024 | −0.1303 | 0.0019 | −0.2132 | 0.0065 | −0.2528 | 0.0084 | 8 | −0.1588 | 0.0035 | −0.17507 | 0.0035 | −0.2904 | 0.0108 | −0.3463 | 0.0145 |
| 30 | 10 | −0.1317 | 0.00109 | −0.13301 | 0.000998 | −0.1977 | 0.0019 | −0.2089 | 0.0019 | 15 | −0.1512 | 0.001319 | −0.1544 | 0.00125 | −0.2373 | 0.0025 | −0.2552 | 0.0027 | 25 | −0.1966 | 0.00193 | −0.2039 | 0.00197 | −0.3333 | 0.00447 | −0.3663 | 0.0051 |
| 50 | 15 | −0.1334 | 0.000702 | −0.13406 | 0.000667 | −0.1946 | 0.00116 | −0.20008 | 0.001106 | 25 | −0.1572 | 0.00086 | −0.15906 | 0.00085 | −0.2423 | 0.0015 | −0.2539 | 0.0016 | 40 | −0.19906 | 0.001219 | −0.2026 | 0.00123 | −0.3294 | 0.0026 | −0.3514 | 0.0028 |
| 70 | 20 | −0.1341 | 0.000515 | −0.1343 | 0.00049 | −0.1933 | 0.00082 | −0.1964 | 0.00078 | 35 | −0.1598 | 0.00064 | −0.1609 | 0.00063 | −0.2445 | 0.00115 | −0.2526 | 0.00116 | 60 | −0.2111 | 0.00096 | −0.2137 | 0.00097 | −0.3511 | 0.00208 | −0.3685 | 0.0022 |
| 100 | 20 | −0.1265 | 0.00034 | −0.1259 | 0.00032 | −0.1767 | 0.00051 | −0.1776 | 0.00048 | 50 | −0.1618 | 0.00046 | −0.1623 | 0.00045 | −0.2461 | 0.000814 | −0.2516 | 0.000819 | 90 | −0.2206 | 0.00073 | −0.2226 | 0.00073 | −0.36809 | 0.00158 | −0.3807 | 0.0016 |
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