BIAS IN ESTIMATING THE MALTHUSIAN PARAMETER FOR LESLIE MATRICES
BIAS IN ESTIMATING THE MALTHUSIAN PARAMETER FOR LESLIE MATRICES
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DOI：
10.1016/0040-5809(79)90039-x
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发表时间：
1979-01-01
影响因子：
1.4
通讯作者：
DALEY, DJ
中科院分区：
文献类型：
--
作者：
DALEY, DJ
对于3阶的莱斯利矩阵。3或更大，给出了矩阵中每一项马尔萨斯参数的凹凸性的传导。这两种情况都是可能的，因此从条目为随机变量的Leslie矩阵计算的预期人口增长率可以小于或大于从矩阵的期望值计算的增长率。Boyce（1977）表明，在2。2 .这种偏差总是积极的；给出了一个数值例子，说明了这种情况下偏差的大小，并与相同例子下参数的抽样误差进行了比较。
For Leslie matrices of order 3 .times. 3 or larger, conductions for concavity or convexity of the Malthusian parameter in each of the entries in the matrix are given. Both cases are possible, so the expected population growth rate computed from a Leslie matrix whose entries are random variables can be either smaller or larger than the growth rate computed from the expected value of the matrix. Boyce (1977) showed that in the 2 .times. 2 case this bias is always positive; a numerical example illustrating the magnitude of the bias in this case was given and compared with the sampling error of the parameter for the same example.