table_08_09: Gompertz non-symmetric sigmoid with no error

Description Usage Format Details References Examples

Description

Data used for creating Table 8 and 9 of arXiv:1206.5478v2

Usage

1
data("table_08_09")

Format

A data frame with 501 observations on the following 2 variables.

x

a numeric vector

y

a numeric vector

Details

Table 8: Gompertz sigmoid, p=5, asymmetry, n=500, no-error

Table 9: ESE & EDE iterations for Gompertz sigmoid, p=5, asymmetry, [a, b] = [3.5, 8], n=500, no error

References

Christopoulos, DT (2014). Developing methods for identifying the inflection point of a convex/concave curve. arXiv:1206.5478v2 [math.NA]

Examples

1
2
3
4
5
6
data("table_08_09")
dh=table_08_09
plot(dh,pch=19,cex=0.1)
findiplist(dh$x,dh$y,0)
bese(dh$x,dh$y,0)
bede(dh$x,dh$y,0)

Example output

    j1  j2   chi
ESE 72 266 5.012
EDE 67 311 5.192
$iplast
[1] 4.9985

$iters
    n     a     b    ESE
1 501 3.500 8.000 5.0120
2 195 4.625 5.489 5.0570
3  97 4.778 5.201 4.9895
4  48 4.904 5.120 5.0120
5  25 4.940 5.048 4.9940
6  13 4.976 5.030 5.0030
7   7 4.985 5.012 4.9985

$iplast
[1] 4.9985

$iters
    n     a     b    EDE
1 501 3.500 8.000 5.1920
2 245 4.454 5.669 5.0615
3 136 4.670 5.363 5.0165
4  78 4.805 5.210 5.0075
5  46 4.886 5.120 5.0030
6  27 4.931 5.066 4.9985
7  16 4.958 5.039 4.9985
8  10 4.976 5.021 4.9985
9   6 4.985 5.012 4.9985

inflection documentation built on June 28, 2019, 5:03 p.m.