JPH02724B2 - - Google Patents
Info
- Publication number
- JPH02724B2 JPH02724B2 JP59094879A JP9487984A JPH02724B2 JP H02724 B2 JPH02724 B2 JP H02724B2 JP 59094879 A JP59094879 A JP 59094879A JP 9487984 A JP9487984 A JP 9487984A JP H02724 B2 JPH02724 B2 JP H02724B2
- Authority
- JP
- Japan
- Prior art keywords
- straight line
- weibull
- vertical axis
- paper
- horizontal axis
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06C—DIGITAL COMPUTERS IN WHICH ALL THE COMPUTATION IS EFFECTED MECHANICALLY
- G06C3/00—Arrangements for table look-up, e.g. menstruation table
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Computer Hardware Design (AREA)
- Computing Systems (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Length-Measuring Instruments Using Mechanical Means (AREA)
Description
【発明の詳細な説明】
〔発明の技術分野〕
この発明はワイブル確率紙上に引いた直線から
ワイブル分布の形状パラメータｍを求めるための
ワイブル確率紙用ｍ定規に関するものである。DETAILED DESCRIPTION OF THE INVENTION [Technical Field of the Invention] The present invention relates to an m ruler for Weibull probability paper for determining the shape parameter m of a Weibull distribution from a straight line drawn on Weibull probability paper.
従来ワイブル確率紙上よりワイブル分布の形状
パラメータｍを求める方法として次の方法があつ
た。
Conventionally, the following method has been used to obtain the shape parameter m of the Weibull distribution from Weibull probability paper.
第１図はワイブル確率紙を示し、図において１
は横軸１、縦軸０（１，０）の点、２は実測デー
タより引いた直線、３は上記点１を通る直線２と
平行な直線、４は横軸０を通る縦軸と平行な直線
１２と直線３との交点、５は交点４を通る横軸と
平行な直線１３と縦軸との交点である。ここで横
軸のスケールはInt、縦軸のスケールはInInI／
｛１−Ｆ（ｔ）｝である。 Figure 1 shows a Weibull probability paper, in which 1
is a point with horizontal axis 1 and vertical axis 0 (1, 0), 2 is a straight line drawn from the actual measurement data, 3 is a straight line parallel to straight line 2 passing through point 1 above, 4 is parallel to the vertical axis passing through horizontal axis 0 The intersection point 5 between the straight line 12 and the straight line 3 is the intersection point between the vertical axis and the straight line 13 passing through the intersection 4 and parallel to the horizontal axis. Here, the horizontal axis scale is Int, and the vertical axis scale is InInI/
{1-F(t)}.
そしてワイブル確率紙よりワイブル分布の形状
パラメータｍを求めるときは、第１図において、
直線２と平行な直線を点１を通るように引き、そ
の直線３と横軸０を通る縦軸と平行な直線１２と
の交点４を求める。その交点４を通る横軸と平行
な直線１３を引き、その直線１３と縦軸との交点
５を求める。この交点５の縦軸の目盛を読むこと
によりｍを求める。 When calculating the shape parameter m of the Weibull distribution from the Weibull probability paper, in Fig. 1,
A straight line parallel to the straight line 2 is drawn passing through the point 1, and the intersection point 4 between the straight line 3 and the straight line 12 passing through the horizontal axis 0 and parallel to the vertical axis is determined. A straight line 13 passing through the intersection 4 and parallel to the horizontal axis is drawn, and the intersection 5 between the straight line 13 and the vertical axis is determined. By reading the scale on the vertical axis of this intersection 5, m is determined.
しかるにこの従来の方法では、実測データより
引いた直線及びその他の直線を引かなければなら
ないため、誤差が生じ易く、また、手順が煩わし
いという欠点があつた。 However, this conventional method has the drawbacks that errors are likely to occur and the procedure is complicated because it is necessary to draw a straight line based on the measured data and other straight lines.
この発明は上記のような従来のものの欠点を除
去するためになされたもので、透明又は半透明の
用紙に、ワイブル確率紙の横軸の長さ１又はその
ｎ倍の寸法を有する横軸と、該横軸の一端を通り
上記ワイブル確率紙の縦軸の目盛又はそのｎ倍の
目盛を有する縦軸とを描いて、ワイブル紙上に引
かれた直線の傾きを求めるためのｍ定規を作製す
ることによりワイブル分布の形状パラメータを容
易かつ正確に得られるようにしたものである。
This invention was made in order to eliminate the above-mentioned drawbacks of the conventional paper. , passing through one end of the horizontal axis and drawing the scale of the vertical axis of the Weibull probability paper or the vertical axis having n times the scale, to create an m ruler for determining the slope of a straight line drawn on the Weibull paper. This makes it possible to easily and accurately obtain the shape parameters of the Weibull distribution.
以下、この発明の実施例を図について説明す
る。
Embodiments of the present invention will be described below with reference to the drawings.
第２図は本発明の一実施例によるワイブル確率
紙用ｍ定規を示す。図において、１０はｍ定規で
あり、これは透明又は半透明の用紙１１に以下の
横軸８，縦軸９等を描いて作成したものである。
即ち、８はｍ定規１０の横軸であり、その長さは
ワイブル確率紙の横軸の１に相当する長さあるい
はそのｎ倍にする。９はｍ定規１０の縦軸、６は
該縦軸９のｍ目盛であり、これはワイブル確率紙
の縦軸の目盛をそのまま、あるいはそのｎ倍して
つけたものである。７は横軸８の他端、１４は該
他端７を起点として縦軸９に平行に引いた直線で
ある。 FIG. 2 shows an m-square for Weibull probability paper according to an embodiment of the present invention. In the figure, 10 is an m ruler, which was created by drawing the following horizontal axis 8, vertical axis 9, etc. on transparent or translucent paper 11.
That is, 8 is the horizontal axis of the m ruler 10, and its length is set to be the length corresponding to 1 on the horizontal axis of the Weibull probability paper or n times that length. 9 is the vertical axis of the m ruler 10, and 6 is the m scale of the vertical axis 9, which is the scale of the vertical axis of the Weibull probability paper either as it is or multiplied by n. 7 is the other end of the horizontal axis 8, and 14 is a straight line drawn from the other end 7 in parallel to the vertical axis 9.
次に、このｍ定規１０を使用してワイブル分布
の形状パラメータｍを求める方法を説明する。ワ
イブル確率紙上に本ｍ定規１０を重ね合わせ、ワ
イブル確率紙上の直線２上にｍ定規１０の点７を
置き、ｍ定規１０の縦軸９，横軸８がワイブル確
率紙の縦軸，横軸と平行になるようにする。この
とき、直線２とｍ定規１０の縦軸９との交点の縦
軸９の値をｍ目盛６により読み取る。これが求め
るワイブル分布の形状パラメータｍである。 Next, a method for determining the shape parameter m of the Weibull distribution using the m ruler 10 will be explained. Superimpose the m-ruler 10 on the Weibull probability paper, and place the point 7 of the m-ruler 10 on the straight line 2 on the Weibull probability paper, so that the vertical axis 9 and horizontal axis 8 of the m-ruler 10 are the vertical and horizontal axes of the Weibull probability paper. so that it is parallel to At this time, the value on the vertical axis 9 at the intersection of the straight line 2 and the vertical axis 9 of the m ruler 10 is read on the m scale 6. This is the shape parameter m of the Weibull distribution to be sought.
このように本実施例では、ワイブル確率紙の横
軸、縦軸の一部を透明用紙上に描いてｍ定規１０
を作成したので、従来のようにワイブル確率紙上
に直線を引く必要がなくなり、ワイブル確率紙上
の直線２上に該ｍ定規１０を重ね合せるだけでワ
イブル分布の形状パラメータｍを容易かつ正確に
求めることができる。 In this way, in this example, we drew part of the horizontal and vertical axes of Weibull probability paper on transparent paper and
, it is no longer necessary to draw a straight line on Weibull probability paper as in the past, and the shape parameter m of the Weibull distribution can be easily and accurately determined by simply superimposing the m ruler 10 on straight line 2 on the Weibull probability paper. Can be done.
以上のようにこの発明によれば、透明又は半透
明の用紙に、ワイブル確率紙の横軸の長さ１又は
そのｎ倍の寸法を有する横軸と、該横軸の一端を
通り上記ワイブル確率紙の縦軸の目盛又はそのｎ
倍の目盛を有する縦軸とを描いて、ワイブル紙上
に引かれた直線の傾きを求めるためのワイブル確
率紙用ｍ定規を作成したので、それをワイブル確
率紙上に重ね合せ目盛を読むという単純な作業
で、しかも正確にワイブル分布の形状パラメータ
ｍを求めることができる効果がある。
As described above, according to the present invention, a transparent or translucent paper is provided with a horizontal axis having a length 1 or n times the length of the horizontal axis of the Weibull probability paper, and a horizontal axis passing through one end of the horizontal axis and the above-mentioned Weibull probability. Scale of vertical axis of paper or its n
I created an m ruler for Weibull probability paper to find the slope of a straight line drawn on Weibull paper by drawing a vertical axis with a double scale, so I simply superimposed it on Weibull probability paper and read the scale. This has the advantage that the shape parameter m of the Weibull distribution can be determined easily and accurately.
第１図は従来のワイブル分布の形状パラメータ
ｍを求めるためのワイブル確率紙を示す図、第２
図は本発明の一実施例によるワイブル確率紙用ｍ
定規を示す図である。
図において、１１は透明の用紙、１０はワイブ
ル確率紙用ｍ定規、２は直線、９はｍ定規の縦
軸、６は該縦軸のｍ目盛、８はｍ定規の横軸、７
は横軸の他端である。なお図中同一符号は同一又
は相当部分を示す。
Figure 1 is a diagram showing a conventional Weibull probability paper for determining the shape parameter m of the Weibull distribution;
The figure shows a model for Weibull probability paper according to an embodiment of the present invention.
It is a figure showing a ruler. In the figure, 11 is transparent paper, 10 is a Weibull probability paper m ruler, 2 is a straight line, 9 is the vertical axis of the m ruler, 6 is the m scale of the vertical axis, 8 is the horizontal axis of the m ruler, 7
is the other end of the horizontal axis. Note that the same reference numerals in the figures indicate the same or equivalent parts.
Claims (1)
横軸の長さ１又はそのｎ倍の寸法を有する横軸
と、該横軸の一端を通り上記ワイブル確率紙の縦
軸の目盛又はそのｎ倍の目盛を有する縦軸とを描
いてなり、上記ワイブル確率紙上の直線に上記横
軸の他端を重ね合わせ、上記直線の傾きである、
該直線と上記縦軸との交点の該縦軸の値をワイブ
ル分布の形状パラメータｍとして読みとるように
したことを特徴とするワイブル確率紙用ｍ定規。1. On a transparent or semi-transparent paper, a horizontal axis having a length 1 or n times the length of the horizontal axis of the Weibull probability paper, and a scale of the vertical axis of the Weibull probability paper passing through one end of the horizontal axis, or the scale n thereof. The other end of the horizontal axis is superimposed on the straight line on the Weibull probability paper, and the slope of the straight line is
A Weibull probability paper m ruler, characterized in that the value of the vertical axis at the intersection of the straight line and the vertical axis is read as a shape parameter m of a Weibull distribution.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP9487984A JPS60237516A (en) | 1984-05-09 | 1984-05-09 | (m) ruler for weibull chart |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP9487984A JPS60237516A (en) | 1984-05-09 | 1984-05-09 | (m) ruler for weibull chart |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS60237516A JPS60237516A (en) | 1985-11-26 |
| JPH02724B2 true JPH02724B2 (en) | 1990-01-09 |
Family
ID=14122335
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP9487984A Granted JPS60237516A (en) | 1984-05-09 | 1984-05-09 | (m) ruler for weibull chart |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS60237516A (en) |
Family Cites Families (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS56127218A (en) * | 1980-03-12 | 1981-10-05 | Hisahiro Okanoichi | Correlation analysis diagnosing chart between intellect and scholarship and the like and its diagnosing scale |
| JPS5729951U (en) * | 1980-07-24 | 1982-02-17 |
-
1984
- 1984-05-09 JP JP9487984A patent/JPS60237516A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS60237516A (en) | 1985-11-26 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| JPH02724B2 (en) | ||
| EP0316937A3 (en) | Method and apparatus for inference | |
| KR910012996A (en) | 3D shape data input method | |
| JPH01191012A (en) | Three-dimensional data correcting method | |
| JPH01191011A (en) | Three-dimensional data interpolating method | |
| JPS5874298U (en) | tuner | |
| JPS5851400U (en) | Zero intersection detection circuit | |
| JPH0258663B2 (en) | ||
| JPS59922A (en) | Method for detecting compositive deviation in mask rom | |
| JPS6144330B2 (en) | ||
| JP2516507B2 (en) | Survey map display device | |
| JPS614243U (en) | Activation energy calculation ruler | |
| JP2886227B2 (en) | Generating exposure data | |
| JPH01193973A (en) | Interference checking method for three-dimensional shape | |
| JPS60176110U (en) | position measuring device | |
| Fotland et al. | Methods of index calculation and presentation of fish abundance data using standard computer programs | |
| KR970049528A (en) | Error correction method | |
| JPS63222268A (en) | Rotational speed detector | |
| JPS62262189A (en) | Segmenting system for contour of picture area | |
| JPH05127885A (en) | Processing flow chart conversion system | |
| JPH0652268A (en) | Finite element inspection device and structure analysis method using the same | |
| JPH0229600U (en) | ||
| Meissner et al. | Examples of remote sensing cartography in arid & semiarid regions//Review | |
| HAEBERLEIN | Automatic engraving of map frames in the revision of the TK 25, 1: 25, 000 topographical map | |
| JPS59187832U (en) | Condensation study chart |