. 2021 May 13;16(5):e0246947. doi: 10.1371/journal.pone.0246947

Table 3. Percentage relative efficiency of proposed family estimators.

	Population 1	Population 2	Population 3	Population 4
${\bar{y}}_{p r o p 1}$	171.3685	138.4056	126.9301	215.6989
${\bar{y}}_{p r o p 2}$	103.1149	79.9349	95.5017	107.0865
${\bar{y}}_{p r o p 3}$	102.8836	112.9439	123.0256	204.9024
${\bar{y}}_{p r o p 5}$	83.90536	113.9393	102.3297	86.82563
${\bar{y}}_{p r o p 6}$	30.32412	55.59706	57.4785	34.5501
${\bar{y}}_{p r o p 7}$	30.2428	89.68737	84.3266	60.913388
${\bar{y}}_{p r o p 9}$	83.54702	136.1699	125.2152	189.3723
${\bar{y}}_{p r o p 10}$	30.23099	70.94277	80.54632	68.31584
${\bar{y}}_{p r o p 11}$	32.99369	114.0681	112.8626	141.189
${\bar{y}}_{p r o p 12}$	49.40173	104.3372	105.8206	119.4923
${\bar{y}}_{p r o p 13}$	165.2506	133.1671	122.0072	165.0596
${\bar{y}}_{p r o p 14}$	54.01867	67.74307	75.15793	58.40237
${\bar{y}}_{p r o p 15}$	53.8342	109.283	106.7871	115.8713