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Table 5.2: Coefficients for the estimate of l" for two-parameter exponential distribution 

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Table 5.4: Coefficients ( er, ) for the estimate of l" for two-parameter exponential distribution 

8 l.lo425 -0.01303 -0.01303 -0.01303 -0.01303 -0.01303 -0.01303 -0.02606 

I 1.11833 -0.01691 -0.01691 -0.01691 -0.01691 -0.01691 _0.03381 

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5 t.16439 -0.03288 -0.03288 -0.03288 -0.06576 

4 1.20689 -0.05172 -0.05t72- -0.10344 

Sarrple size Coefficients 

Table 5.3: Coefficients (er,) for the estimate of p for two-parameter exponential distribution

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tn 

c-l 

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7 0.07058 0.08664 0.10270 0. I I 877 0. 13483 0. I 5089 0. I 6695 

6 0.08203 0.10460 0.127t7 0.14974 0.17231 0.19488 

5 0.09775 0.13183 0.16592 0.20000 0.23408 

4 0.12017 0.0.17787 0.23557 0.29327 


Table 5.7: Linear coefficients ( a, ) for the estimate of l, for one-parameter exponential distribution

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10 

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9 

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7 

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0 

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5 

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1 

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3 

0.00E36 0.00t36 0.00836 0.00836 0.00t36 0.00E36 0.00E36 0.00t36 0.00E36 0.00E36 0.00t36 0.@t36 0.00t36 0.00t36 0.00t36 0.00t36 0.00136 0.00t36 

202 

0.00527 0.o52t 0.00527 0.00527 0.00521 0.0052t 0.00527 0.00521 0.00527 0.00r2r 0.00r2r 0.0052t 0.00521 0.00t27 0.00t27 0.00t2t 0.00527 0.00t27 0.0052t 

1 

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J 

Varhnce rnd covrrhnce Mrtrlx of the rth order 

Statlgtlcs from ihc Exponcntlnl Dletrlbutlon for n-20 by Ernct Mcthod 

4567891011121314rs 

16 

17 

18 

19 

20

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19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

30 

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0.03615 0.036lt o0t6lt 0.016lt 003615 0.0361t a0l6lt a0!6lt o086t5 00!6tt 0.0t|t5 G036tt oG6tr 0.0!6t5 0.0:tct5 

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0.02t10 0.02tt0 0.0'tt0 002t!0 00lto 0.o2tt0 0.0rto 0.027t0 0.02to eo7r0 eottro 002'|0 00tt!0 0rtn0 aono [o2to 0.ot!0 

0'00tt6 0.00t76 0.mtt6 c00t6 0.00tt6 G00'7c oortc 0.009ra 0.@tt6 000rt6 coo'ta 0.00ttc ao0rr6 o.ootr6 0.00r7t o0o'ra oortr 0,00ttt oott0 0.00ttt 0.00t70 0ttr totta o00?ra 

cottal o.ottci o.ottct 0.oll5t 0.01165 oollet o.ott65 0.0tt65 o0n65 o0n6t G0r6r 0.0I5t o0lt6t oJtrrt oriat o0i6t o0irt 0.0ir5 ooior 0.clr5 toitt t0iat c.oIat 

0.0l3zl oolln o0lln 0.0ltn 0.0ltn o0l3n 0.013t2 0.01!n o0nn 0.0t!n 0.0rrn oorln 0.0ttn o0t!n ootln c0ttn cotrn 0.0ttn o0ttn c0r!n ootrrz 0.0ttn 

0.0tts, o0tt99 ootttt 0.0ttt o.ottlt ootry o.otnr olrir cottn o.orrgr oorrt o0ttlr 0.0ttt c.ottt 0.0ttt Gotrl' ootttl Gotltt oorttt oottlr [0trt 

0.01u9 ooltlt 0.olrrt 0.oltlt 0.0lut ool!{t o.0lllt oolur 0.0ru9 00t!{9 00t!{r ootrrt f.o||tt 0.0t!tt cot|{t or||tt 0.0t99 0o||t9 0.omr o.otrrt 

0.0063 000613 00cf3 0.00t13 000613 0.06{3 0.063 0.060 0.00c13 400613 000613 0.006{3 c0o6t3 0.006$ 000613 0.o6{t o006{3 0o06tt 0.0060 o.0oert 0.00t{t oo6tt 0fa{r 0.0064t 

0.00103 000103 00000t 0.oc0t 0J0c03 00010t o00t0t 0.00t03 000!03 0.00t0! 0.00&r ooorot 0.00$r coo!8 0.00e$ G0000r ooorot o.oot mmt G00ta 0.0010t oft0t o00t o00r8 0.00r 

0.00230 0002t0 00030 0002!0 0.00?30 0002t0 0.0t230 000230 000230 0.00230 0002!0 0.o2!0 a00230 0.00230 000!0 0.00[0 0.00230 0oo2!0 0.00130 0.oro 0.0010 

0.003'|0.003't0.o35t0.003'|0'00''|Gm3'!o003$0.m3'r0.o35r0.o!5|0.0ot$0.m!'!0.o35r0.o!rso0o3'|o0o3'roo0!5t0.@!5r0I035!0'o!'|0'o!'|o00800!$$ 

0.00{'5o00|9'o00|9'oo|''0.o|9'o00|9'Go|9'0'0f9roo{9'o00|''0.00|95o0o{950.oo|9'oo|9'oo|'5o00|9'0.00|''o.o|950.00|9'oo|''oo|''oo|''o00|''oo|'' 

30 

I 

2 

3 

4 

5 

6 

7 

I 

9 

t0 

11 

12 

l3 

14 

15 

t6 

17 

0.00|||o00|||0.o|||0'00|||0.ol||0'o|||o00l||oo|||0.00|||0.00r||o00|||0.||| 

J 

n 

2 

8 I 10 11 12 t3 14 15 16 17 t8 t9 20 21 22 23 24 25 26 27 28 29 30 

Variance and covariance Matrix of the rth order 

Statistics From the Exponential Distribution for n=30 by Exact Method

ao5i33-V)AFfrlt{z&ErcZ

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