MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02175nam a2200277 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
UPMIN-00000014627 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
UPMIN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20230201143703.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
230201b |||||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Transcribing agency |
UPMin |
| Modifying agency |
upmin |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
LG993.5 2005 |
| Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) |
A64 L54 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lim, Maricel B. |
| 9 (RLIN) |
1975 |
| 245 00 - TITLE STATEMENT |
|---|
| Title |
On the lower bound of time, t, of the asymptotic approximation of the renewal function / |
| Statement of responsibility, etc. |
Maricel B. Lim. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Date of publication, distribution, etc. |
2005 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
65 leaves |
| 502 ## - DISSERTATION NOTE |
|---|
| Dissertation note |
Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2005 |
| 520 3# - SUMMARY, ETC. |
|---|
| Summary, etc. |
Renewal functions represent the long-run behavior of a renewal process which plays a significant role in applied probability studies such as inventories, queuing, reliability and warranty. For large values of time t, the asymptotic approximation of the renewal function is suitably matched. To investigate the limitations of the asymptotic approximation, in particular its lower bound for time t, its performance was observed relative to the results of a numerical approximation to the renewal function based on the concept of the Riemann integration. By using the Exponential and Erlang-2 distribution as the density of the renewal function, the individual behaviors of the approximations were the first compared when an existing renewal function was available. Due to the asymptotic linear behavior of the densities, the lower bound of time ts of the asymptotic approximation was easy to obtain when the gamma and Weibull distribution has its variability at c2x <1 and the Lognormal distribution has its variability c2x <1. On the other hand, the identification of the lower bound of time ts for the Gamma and Weibull distribution when its variability is at c2x <1 and the Lognormal distribution when its variability is at c2x <1 was difficult to obtain owing to the resulting large run-time required by the numerical part of the method. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Renewal function. |
| 9 (RLIN) |
1280 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Asymptotic approximation. |
| 9 (RLIN) |
1976 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Stochastic process. |
| 9 (RLIN) |
1281 |
| 658 ## - INDEX TERM--CURRICULUM OBJECTIVE |
|---|
| Main curriculum objective |
Undergraduate Thesis |
| Curriculum code |
AMAT200 |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) |
|---|
| a |
Fi |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) |
|---|
| a |
UP |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Thesis |
