k = 1

k = 3

k = 5

n

m

Scheme

MLE

AMLE

LSE

MLE

AMLE

LSE

MLE

AMLE

LSE

20

5

(15,0,0,0,0)

0.0022 (0.0009)

0.0107 (0.0012)

0.0048 (0.0010)

0.0051 (0.0006)

0.0107 (0.0013)

0.0073 (0.0007)

0.0062 (0.0006)

0.0101 (0.0019)

0.0107 (0.0007)

(0,0,15,0,0)

0.0025 (0.0008)

0.0114 (0.0010)

0.0081 (0.0009)

0.0067 (0.0007)

0.0157 (0.0016)

0.0084 (0.0009)

0.0082 (0.0007)

0.0172 (0.0023)

0.0219 (0.0014)

(0,0,0,0,15)

0.0019 (0.0006)

0.0084 (0.0010)

0.0015 (0.0007)

0.0077 (0.0006)

0.0130 (0.0031)

0.0043 (0.0007)

0.0098 (0.0008)

0.0140 (0.0049)

0.0095 (0.0007)

(3,3,3,3,3)

0.0039 (0.0007)

0.0116 (0.0012)

0.0067 (0.0007)

0.0081 (0.0007)

0.0145 (0.0029)

0.0063 (0.0008)

0.0097 (0.0008)

0.0151 (0.0042)

0.0320 (0.0013)

15

(5,...,0,0)

0.0003 (0.0007)

0.0062 (0.0007)

0.0011 (0.0007)

0.0031 (0.0004)

0.0077 (0.0008)

0.0065 (0.0005)

0.0042 (0.0004)

0.0080 (0.0012)

0.0076 (0.0005)

(1,1,1,1,1,0,...,0)

0.0001 (0.0006)

0.0060 (0.0007)

0.0015 (0.0007)

0.0033 (0.0004)

0.0087 (0.0009)

0.0067 (0.0005)

0.0045 (0.0004)

0.0094 (0.0013)

0.0072 (0.0005)

(0,..,0,5,0,...,0)

0.0001 (0.0006)

0.0061 (0.0007)

0.0032 (0.0006)

0.0036 (0.0004)

0.0099 (0.0010)

0.0071 (0.0005)

0.0049 (0.0004)

0.0112 (0.0014)

0.0077 (0.0005)

0.0001 (0.0006)

0.0061 (0.0007)

0.0033 (0.0006)

0.0036 (0.0004)

0.0099 (0.0010)

0.0072 (0.0005)

0.0049 (0.0004)

0.0112 (0.0014)

0.0078 (0.0005)

(0,...,0,5)

0.0000 (0.0006)

0.0043 (0.0006)

0.0010 (0.0006)

0.0037 (0.0004)

0.0081 (0.0013)

0.0037 (0.0004)

0.0052 (0.0004)

0.0091 (0.0020)

0.0043 (0.0005)

(0,...,0,1,1,1,1,1)

0.0002 (0.0006)

0.0052 (0.0007)

0.0034 (0.0006)

0.0037 (0.0004)

0.0091 (0.0012)

0.0051 (0.0004)

0.0052 (0.0004)

0.0104 (0.0018)

0.0080 (0.0005)

50

20

(30,0,............,0)

0.0016 (0.0005)

0.0063 (0.0005)

0.0038 (0.0005)

0.0024 (0.0003)

0.0049 (0.0007)

0.0040 (0.0004)

0.0029 (0.0003)

0.0040 (0.0010)

0.0034 (0.0004)

(3,3,....,3,0...,0)

0.0017 (0.0004)

0.0064 (0.0005)

0.0040 (0.0004)

0.0033 (0.0003)

0.0075 (0.0008)

0.0046 (0.0004)

0.0039 (0.0004)

0.0078 (0.0011)

0.0039 (0.0006)

(0,...0,30,0,...,0)

0.0019 (0.0004)

0.0068 (0.0005)

0.0059 (0.0005)

0.0037 (0.0004)

0.0091 (0.0009)

0.0049 (0.0005)

0.0043 (0.0004)

0.0100 (0.0012)

0.0034 (0.0005)

0.0018 (0.0004)

0.0073 (0.0005)

0.0072 (0.0005)

0.0038 (0.0004)

0.0099 (0.0010)

0.0052 (0.0005)

0.0045 (0.0004)

0.0109 (0.0014)

0.0039 (0.0005)

(0.............,0,30)

0.0016 (0.0003)

0.0049 (0.0003)

0.0024 (0.0003)

0.0044 (0.0004)

0.0070 (0.0021)

0.0005 (0.0004)

0.0055 (0.0004)

0.0074 (0.0031)

0.0020 (0.0003)

(0,...,0,3,3,...,3)

0.0014 (0.0003)

0.0061 (0.0005)

0.0036 (0.0003)

0.0042 (0.0003)

0.0087 (0.0017)

0.0018 (0.0004)

0.0156 (0.0037)

0.0283 (0.0221)

0.0067 (0.0042)

50

30

(20,0,............,0)

0.0002 (0.0003)

0.0037 (0.0004)

0.0017 (0.0004)

0.0014 (0.0002)

0.0035 (0.0004)

0.0036 (0.0002)

0.0019 (0.0002)

0.0032 (0.0006)

0.0030 (0.0002)

(2,2,....,2,0...,0)

0.0004 (0.0003)

0.0035 (0.0003)

0.0024 (0.0003)

0.0017 (0.0002)

0.0046 (0.0005)

0.0037 (0.0003)

0.0022 (0.0002)

0.0049 (0.0007)

0.0027 (0.0002)

(0,...0,20,0,...,0)

0.0004 (0.0003)

0.0037 (0.0004)

0.0027 (0.0003)

0.0020 (0.0002)

0.0057 (0.0005)

0.0041 (0.0003)

0.0026 (0.0002)

0.0064 (0.0008)

0.0028 (0.0003)

0.0004 (0.0003)

0.0038 (0.0003)

0.0030 (0.0003)

0.0020 (0.0002)

0.0058 (0.0006)

0.0042 (0.0003)

0.0026 (0.0002)

0.0066 (0.0008)

0.0029 (0.0003)

(0.............,0,20)

0.0002 (0.0002)

0.0024 (0.0003)

0.0008 (0.0003)

0.0022 (0.0002)

0.0042 (0.0009)

0.0004 (0.0002)

0.0029 (0.0002)

0.0047 (0.0014)

0.0005 (0.0003)

(0,...,0,2,2,...,2)

0.0002 (0.0003)

0.0031 (0.0004)

0.0009 (0.0003)

0.0021 (0.0002)

0.0052 (0.0008)

0.0011 (0.0002)

0.0028 (0.0002)

0.0058 (0.0012)

0.0007 (0.0003)