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On the mean range of partial sums in the case of independent gamma variables (Record no. 83015)

MARC details
000 -LEADER
fixed length control field	03151nam a2200421 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20260818170528.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	140198 th eng
035 ## - SYSTEM CONTROL NUMBER
System control number	.b10476957
099 #9 - LOCAL FREE-TEXT CALL NUMBER (OCLC)
Classification number	AIT Thesis no. 857
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Huynh, Ngoc Phien
245 10 - TITLE STATEMENT
Title	On the mean range of partial sums in the case of independent gamma variables
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc.	Bangkok :
Name of publisher, distributor, etc.	Asian Institute of Technology,
Date of publication, distribution, etc.	1976
300 ## - PHYSICAL DESCRIPTION
Extent	65 p.
490 1# - SERIES STATEMENT
Series statement	Thesis ;
Volume/sequential designation	no. 857
500 ## - GENERAL NOTE
General note	A thesis submitted in partial fulfillment of the requirement for the Degree of Master of Science at the Asian Institute of Technology, Bangkok, Thailand.
502 ## - DISSERTATION NOTE
Dissertation note	Thesis (M.Sc.) - Asian Institute of Technology, 1976
520 ## - SUMMARY, ETC.
Summary, etc.	Under the assumption that the reservoir is of infinite capacity, the mean or expected value of the storage required to maintain the long term mean inflow is investigated when the annual inflow is distributed as independent gamma variable. This is done by introducing the range of partial sums of the fluctuations of the inflow around its mean. The inflow is first standardized, and by means of the data generation method, an approximate equation of the mean range is then obtained. It is expressed in terms of Cs, the skewness coefficient of the inflow distribution, and of n, the number of years, in the following form: 10' E (R ) 1. 65 n = I 3_ exp (- 0.0475Cs ) O.7(n-l)0.6+ 2 n E i-1/2 i=l In the case when n=l, this expression approximates well the exact formula which is derived mathematically: E(R1) = 2/a [l( /a , a-1)- I (-a - ,a) /ci+1 in which a is the shape parameter of the gamma distribution, and I(u,p) is the incomplete gamma function. The mean storage required for regulating the mean inflow is then obtained by multiplying E(Rn ) by the standard deviation of the inflow discharges.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Reservoirs
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Arbhabhirama Anat,
Relator term	Chairperson
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Prathet Sutabutr,
Relator term	Co-Chairperson
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Okamoto, Masami,
Relator term	Examination Committee
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Selvalingam, Selvadore,
Relator term	Examination Committee
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	The British Council,
Relator term	Scholarship Donor
810 2# - SERIES ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	Asian Institute of Technology.
Title of a work	Thesis ;
Volume/sequential designation	no. 857
856 ## - ELECTRONIC LOCATION AND ACCESS
Materials specified	Full-Text
Uniform Resource Identifier	<a href="http://203.159.5.9/ait-thesis/detail.php?q=B23673">http://203.159.5.9/ait-thesis/detail.php?q=B23673</a>
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998 ## - LOCAL CONTROL INFORMATION (RLIN)
Operator's initials, OID (RLIN)	2
Cataloger's initials, CIN (RLIN)	951012
First date, FD (RLIN)	m
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945 ## - LOCAL PROCESSING INFORMATION (OCLC)
l	mnait
945 ## - LOCAL PROCESSING INFORMATION (OCLC)
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945 ## - LOCAL PROCESSING INFORMATION (OCLC)
l	mnarc
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	20-AIT Publication
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	40-Archives
909 ## - LOCAL ITEMS USED
Barcode	Barcode : 30050002837309
CREATED	CREATED : 1995-10-15
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Barcode	Barcode : 30050160091640
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Holdings
Not for loan	Home library	Current library	Shelving location	Date acquired	Full call number	Barcode	Date last seen	Copy number	Price effective from	Koha item type
Available for Loans	Asian Institute of Technology Library	Asian Institute of Technology Library	AIT Publications	18/08/2026	AIT Thesis no. 857	30050002837309	18/08/2026	1	18/08/2026	20-AIT Publication
Available for Loans	Asian Institute of Technology Library	Asian Institute of Technology Library	AIT Publications	18/08/2026	AIT Thesis no. 857	30050003037172	18/08/2026	2	18/08/2026	20-AIT Publication
Available for Loans	Asian Institute of Technology Library	Asian Institute of Technology Library	Archives	18/08/2026	AIT Thesis no. 857	30050160091640	18/08/2026		18/08/2026	40-Archives

On the mean range of partial sums in the case of independent gamma variables (Record no. 83015)

AIT

Asian Institute of Technology Library