Abstract
There is a relatively newer discipline of software reliability testing. Therefore, it becomes necessary to first consider developing criteria for the reliability testing of each of the components of the approach suggested in this book. It is also necessary to test their reliability, as well as their validity, and decide whether or not they yield sustainable results in a fairly wide range of situations encountered by users. The way the tables developed here have been tested for their reliability and validity is new and is not reported to have been done in the past. Their generation required parameters with their terminology that has been explained in Sects. 5.1–5.3. Section 5.4 on “Generated tables explained” furnishes information about the layout for such tables so as to serve a key to the user.
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Notes
- 1.
- 2.
Appropriate caveat and was obtained with satisfactory in Sect. 10.3 of Chap.10.
- 3.
From Eq. (4.40) in Sect. 4.3.
- 4.
- 5.
Refer to Gupta (1963).
- 6.
- 7.
- 8.
- 9.
The said comparative values were placed in tabular format in Table 9.1 of Chap. 9.
- 10.
But only three such tables are placed in Table 9.2 of Chap. 9 for want of space.
- 11.
As contained in Table 9.3 of Chap. 9.
- 12.
That is, the combination already considered earlier for such 400 tables generated and placed in Table 8.2 in Chap. 8. But for want of space, only four such tables have been given in Chap. 9.
- 13.
However, the selection of the appropriate seed values corresponding to Table 8.1 (in Chap. 8) required sometimes between 2 and 4 trials of bivariate (two-way) interpolations. Such generated tables of biquantile pairs, as rearranged for better readability, are presented in Table 9.3 of Chap. 9, as supplement to earlier ones placed in Table 8.2 of Chap. 8.
- 14.
Presented in Chap. 8, named “The Generated Tables”, which consists of Table 8.1 of equi-quantile values and Table 8.2 containing four hundred tables, one each for biquantile pairs of bivariate normal probability integral for the given level of probability (implying the risk level) and known or estimated value of correlation coefficient between variables as per the four hundred grids of Table 8.1 of Chap. 8.
- 15.
These are explained in Sects. 4.6 and 4.10. The parameters, their terminologies and Owen’s along with Moran’s set of formulae adopted for the development of algorithms for the same and the magnitude of allowable computational errors for different stages of computations have also been presented in Sects. 4.4 and 4.10 (in Chap. 4), respectively.
- 16.
- 17.
- 18.
- 19.
Already explained in Sect. 10.3, “caveats and caution”.
- 20.
It is for such reason that this aspect is again referred to in Sect. 10.3(6).
- 21.
Especially in sections of Chap. 7.
- 22.
- 23.
From ranges already chosen for tables in Table 8.2 of Chap. 8. It is done so that they do not coincide with those of the said table.
- 24.
As all those conditions are seen to be met by these tables also, they are considered for inclusion as separate set of tables in Chap. 9. Thus, parameters, their nomenclatures and arrangements are the same as those of Table 8.2 of Chap. 8. For want of space, the presentation had to be limited to only four, two for the positive and other two for the negative correlation.
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Das, N.C. (2015). Software Reliability Testing and Tables Explained. In: Decision Processes by Using Bivariate Normal Quantile Pairs. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2364-1_5
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